497 lines
18 KiB
BibTeX
497 lines
18 KiB
BibTeX
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@phdthesis{ Artic,
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author = {Artic, K.},
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title = {On conjugacy closed loops and conjugacy closed loop
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folders},
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school = {RWTH Aachen University},
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year = {2015},
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printedkey = {Art15}
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}
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@article{ Ar,
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author = {Artzy, R.},
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title = {On automorphic-inverse properties in loops},
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journal = {Proc. Amer. Math. Soc.},
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volume = {10},
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year = {1959},
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pages = {588{\textendash}591},
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fjournal = {Proceedings of the American Mathematical Society},
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issn = {0002-9939},
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mrclass = {20.00},
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mrnumber = {0107674 (21 \#6397)},
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mrreviewer = {H. Minc},
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printedkey = {Art59}
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}
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@article{ BaGrVo,
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author = {De Barros, D. A. S. and Grishkov, A. and Vojt{\v
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e}chovsk{\a'y}, P.},
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title = {Commutative automorphic loops of order {$p^3$}},
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journal = {J. Algebra Appl.},
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volume = {11},
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number = {5},
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year = {2012},
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pages = {1250100, 15},
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fjournal = {Journal of Algebra and its Applications},
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issn = {0219-4988},
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mrclass = {20N05 (20G40)},
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mrnumber = {2983192},
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mrreviewer = {{\a'A}gota Figula},
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url = {http://dx.doi.org/10.1142/S0219498812501009},
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doi = {10.1142/S0219498812501009},
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printedkey = {BGV12}
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}
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@book{ Br,
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author = {Bruck, R. H.},
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title = {A survey of binary systems},
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publisher = {Springer Verlag},
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series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue
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Folge, Heft 20. Reihe: Gruppentheorie},
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address = {Berlin},
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year = {1958},
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pages = {viii+185},
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mrclass = {20.00},
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mrnumber = {0093552 (20 \#76)},
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mrreviewer = {L. J. Paige},
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printedkey = {Bru58}
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}
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@article{ BrPa,
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author = {Bruck, R. H. and Paige, L. J.},
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title = {Loops whose inner mappings are automorphisms},
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journal = {Ann. of Math. (2)},
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volume = {63},
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year = {1956},
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pages = {308{\textendash}323},
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fjournal = {Annals of Mathematics. Second Series},
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issn = {0003-486X},
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mrclass = {20.0X},
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mrnumber = {0076779},
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mrreviewer = {R. Moufang},
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printedkey = {BP56}
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}
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@book{ ChPfSm,
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editor = {Chein, O. and Pflugfelder, H. O. and Smith, J. D. H.},
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title = {Quasigroups and loops: theory and applications},
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publisher = {Heldermann Verlag},
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series = {Sigma Series in Pure Mathematics},
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volume = {8},
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address = {Berlin},
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year = {1990},
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pages = {xii+568},
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isbn = {3-88538-008-0},
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mrclass = {20N05 (20-06)},
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mrnumber = {1125806 (93g:20133)},
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mrreviewer = {D. A. Robinson},
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printedkey = {CPS90}
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}
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@book{ CoRo,
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author = {Colbourn, C. J. and Rosa, A.},
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title = {Triple systems},
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publisher = {The Clarendon Press Oxford University Press},
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series = {Oxford Mathematical Monographs},
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address = {New York},
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year = {1999},
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pages = {xvi+560},
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isbn = {0-19-853576-7},
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mrclass = {05B07 (05-02)},
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mrnumber = {1843379 (2002h:05024)},
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mrreviewer = {Elizabeth J. Billington},
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printedkey = {CR99}
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}
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@article{ CsDr,
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author = {Cs{\"o}rg{\H o}, P. and Dr{\a'a}pal, A.},
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title = {Left conjugacy closed loops of nilpotency class two},
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journal = {Results Math.},
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volume = {47},
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number = {3-4},
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year = {2005},
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pages = {242{\textendash}265},
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fjournal = {Results in Mathematics. Resultate der Mathematik},
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issn = {1422-6383},
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mrclass = {20N05},
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mrnumber = {2153496 (2006b:20095)},
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mrreviewer = {Huberta Lausch},
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printedkey = {CD05}
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}
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@article{ DaVo,
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author = {Daly, D. and Vojt{\v e}chovsk{\a'y}, P.},
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title = {Enumeration of nilpotent loops via cohomology},
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journal = {J. Algebra},
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volume = {322},
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number = {11},
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year = {2009},
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pages = {4080{\textendash}4098},
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coden = {JALGA4},
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fjournal = {Journal of Algebra},
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issn = {0021-8693},
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mrclass = {20N05 (20J99)},
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mrnumber = {2556139 (2011e:20098)},
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mrreviewer = {Yu. M. Movsisyan},
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url = {http://dx.doi.org/10.1016/j.jalgebra.2009.03.042},
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doi = {10.1016/j.jalgebra.2009.03.042},
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printedkey = {DV09}
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}
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@article{ DrapalCD,
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author = {Dr{\a'a}pal, A.},
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title = {Cyclic and dihedral constructions of even order},
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journal = {Comment. Math. Univ. Carolin.},
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volume = {44},
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number = {4},
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year = {2003},
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pages = {593{\textendash}614},
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coden = {},
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fjournal = {Commentationes Mathematicae Universitatis Carolinae},
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issn = {},
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mrclass = {20D60 (05B15)},
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mrnumber = {MR2062876 (2005d:20038)},
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mrreviewer = {Thomas Michael Keller},
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url = {},
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doi = {},
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printedkey = {Dr{\a'a}03}
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}
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@article{ DrVo,
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author = {Dr{\a'a}pal, A. and Vojt{\v e}chovsk{\a'y}, P.},
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title = {Moufang loops that share associator and three quarters
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of their multiplication tables},
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journal = {Rocky Mountain J. Math.},
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volume = {36},
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number = {2},
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year = {2006},
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pages = {425{\textendash}455},
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coden = {RMJMAE},
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fjournal = {The Rocky Mountain Journal of Mathematics},
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issn = {0035-7596},
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mrclass = {20N05 (05B15)},
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mrnumber = {2234814 (2007d:20114)},
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mrreviewer = {Orin Chein},
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url = {http://dx.doi.org/10.1216/rmjm/1181069461},
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doi = {10.1216/rmjm/1181069461},
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printedkey = {DV06}
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}
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@article{ Fe,
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author = {Fenyves, F.},
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title = {Extra loops. {II}. {O}n loops with identities of
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{B}ol-{M}oufang type},
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journal = {Publ. Math. Debrecen},
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year = {1969},
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pages = {187{\textendash}192},
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fjournal = {Publicationes Mathematicae Debrecen},
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issn = {0033-3883},
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mrclass = {20.95},
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mrnumber = {0262409 (41 \#7017)},
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mrreviewer = {D. A. Robinson},
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printedkey = {Fen69}
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}
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@book{ Go,
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author = {Goodaire, E. G. and May, S. and Raman, M.},
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title = {The {M}oufang loops of order less than 64},
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publisher = {Nova Science Publishers Inc.},
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address = {Commack, NY},
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year = {1999},
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pages = {xviii+287},
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isbn = {1-56072-659-8},
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mrclass = {20N05},
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mrnumber = {1689624 (2000a:20147)},
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printedkey = {GMR99}
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}
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@article{ GrKiNa,
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author = {Grishkov, A. and Kinyon, M. and Nagy, G. P.},
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title = {Solvability of commutative automorphic loops},
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journal = {Proc. Amer. Math. Soc.},
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volume = {142},
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number = {9},
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year = {2014},
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pages = {3029{\textendash}3037},
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fjournal = {Proceedings of the American Mathematical Society},
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issn = {0002-9939},
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mrclass = {20N05 (17B99)},
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mrnumber = {3223359},
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mrreviewer = {J. D. Phillips},
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url = {http://dx.doi.org/10.1090/S0002-9939-2014-12053-3},
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doi = {10.1090/S0002-9939-2014-12053-3},
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printedkey = {GKN14}
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}
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@article{ JaMa,
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author = {Jacobson, M. T. and Matthews, P.},
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title = {Generating uniformly distributed random {L}atin
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squares},
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journal = {J. Combin. Des.},
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fjournal = {Journal of Combinatorial Designs},
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issn = {1063-8539},
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mrclass = {05B15 (60J10)},
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mrnumber = {1410617 (98b:05021)},
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mrreviewer = {Lars D{\o}vling Andersen},
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url = {http://dx.doi.org/10.1002/(SICI)1520-6610(1996)4:6{\textless}405::AID-JCD3{\textgreater}3.0.CO;2-J},
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doi = {10.1002/(SICI)1520-6610(1996)4:6{\textless}405::AID-JCD3{\textgreater}3.0.CO;2-J},
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}
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@article{ JeKiVo,
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author = {Jedli{\v c}ka, P. and Kinyon, M. and Vojt{\v
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e}chovsk{\a'y}, P.},
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title = {Nilpotency in automorphic loops of prime power order},
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journal = {J. Algebra},
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pages = {64{\textendash}76},
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coden = {JALGA4},
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fjournal = {Journal of Algebra},
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issn = {0021-8693},
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mrreviewer = {Mohammad Shahryari},
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url = {http://dx.doi.org/10.1016/j.jalgebra.2011.09.034},
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doi = {10.1016/j.jalgebra.2011.09.034},
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printedkey = {JKV12}
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}
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@article{ JoKiNaVo,
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author = {Johnson, K. W. and Kinyon, M. K. and Nagy, G. P. and
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Vojt{\v e}chovsk{\a'y}, P.},
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title = {Searching for small simple automorphic loops},
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journal = {LMS J. Comput. Math.},
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volume = {14},
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year = {2011},
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pages = {200{\textendash}213},
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fjournal = {LMS Journal of Computation and Mathematics},
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issn = {1461-1570},
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mrclass = {20N05 (20B15 20B40)},
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mrreviewer = {Tuval S. Foguel},
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url = {http://dx.doi.org/10.1112/S1461157010000173},
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doi = {10.1112/S1461157010000173},
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printedkey = {JKNV11}
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}
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@article{ KiKuPh,
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author = {Kinyon, M. K. and Kunen, K. and Phillips, J. D.},
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title = {Every diassociative {$A$}-loop is {M}oufang},
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journal = {Proc. Amer. Math. Soc.},
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coden = {PAMYAR},
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fjournal = {Proceedings of the American Mathematical Society},
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issn = {0002-9939},
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mrreviewer = {Orin Chein},
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url = {http://dx.doi.org/10.1090/S0002-9939-01-06090-7},
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doi = {10.1090/S0002-9939-01-06090-7},
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printedkey = {KKP02}
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}
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@article{ KiKuPhVo,
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author = {Kinyon, M. K. and Kunen, K. and Phillips, J. D. and
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Vojt{\v e}chovsk{\a'y}, P.},
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title = {The structure of automorphic loops},
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journal = {Trans. Amer. Math. Soc.},
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volume = {368},
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number = {12},
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year = {2016},
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pages = {8901{\textendash}8927},
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coden = {TAMTAM},
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fjournal = {Transactions of the American Mathematical Society},
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issn = {0002-9947},
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mrclass = {20N05},
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mrnumber = {3551593},
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url = {http://dx.doi.org/10.1090/tran/6622},
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doi = {10.1090/tran/6622},
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printedkey = {KKPV16}
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}
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||
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@article{ KiNaVo2015,
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author = {Kinyon, M. K. and Nagy, G. P. and Vojt{\v
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e}chovsk{\a'y}, P.},
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title = {Bol loops and Bruck loops of order $pq$},
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journal = {},
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year = {2015},
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note = {preprint},
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printedkey = {KNV15}
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}
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||
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@article{ Kun,
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author = {Kunen, K.},
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title = {The structure of conjugacy closed loops},
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journal = {Trans. Amer. Math. Soc.},
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pages = {2889{\textendash}2911},
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coden = {TAMTAM},
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fjournal = {Transactions of the American Mathematical Society},
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issn = {0002-9947},
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mrclass = {20N05 (03C05)},
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mrnumber = {1615991 (2000j:20132)},
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mrreviewer = {Edgar G. Goodaire},
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url = {http://dx.doi.org/10.1090/S0002-9947-00-02350-3},
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doi = {10.1090/S0002-9947-00-02350-3},
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printedkey = {Kun00}
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||
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}
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@article{ Li,
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||
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author = {Liebeck, M. W.},
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title = {The classification of finite simple {M}oufang loops},
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journal = {Math. Proc. Cambridge Philos. Soc.},
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volume = {102},
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number = {1},
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year = {1987},
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pages = {33{\textendash}47},
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coden = {MPCPCO},
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fjournal = {Mathematical Proceedings of the Cambridge
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mrreviewer = {Karl H. Robinson},
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url = {http://dx.doi.org/10.1017/S0305004100067025},
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doi = {10.1017/S0305004100067025},
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printedkey = {Lie87}
|
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|
}
|
||
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|
@unpublished{ Mo,
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author = {Moorhouse, G. E.},
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title = {Bol loops of small order},
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note = {http://www.uwyo.edu/moorhouse/pub/bol/},
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printedkey = {Moo}
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}
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@article{ Na,
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author = {Nagy, G. P.},
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title = {A class of simple proper {B}ol loops},
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journal = {Manuscripta Math.},
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pages = {81{\textendash}88},
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coden = {MSMHB2},
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fjournal = {Manuscripta Mathematica},
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mrclass = {20N05},
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mrreviewer = {Ramiro Carrillo-Catal{\a'a}n},
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url = {http://dx.doi.org/10.1007/s00229-008-0188-5},
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doi = {10.1007/s00229-008-0188-5},
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}
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@article{ NaVo2003,
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author = {Nagy, G. P. and Vojt{\v e}chovsk{\a'y}, P.},
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title = {Octonions, simple {M}oufang loops and triality},
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journal = {Quasigroups Related Systems},
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volume = {10},
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year = {2003},
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pages = {65{\textendash}94},
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fjournal = {Quasigroups and Related Systems},
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issn = {1561-2848},
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mrreviewer = {Orin Chein},
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}
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@article{ NaVo2007,
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author = {Nagy, G. P. and Vojt{\v e}chovsk{\a'y}, P.},
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title = {The {M}oufang loops of order 64 and 81},
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journal = {J. Symbolic Comput.},
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doi = {10.1016/j.jsc.2007.06.004},
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printedkey = {NV07}
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}
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@book{ Pf,
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author = {Pflugfelder, H. O.},
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||
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title = {Quasigroups and loops: introduction},
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publisher = {Heldermann Verlag},
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series = {Sigma Series in Pure Mathematics},
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year = {1990},
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pages = {viii+147},
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isbn = {3-88538-007-2},
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mrclass = {20N05 (20-01)},
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mrreviewer = {D. A. Robinson},
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printedkey = {Pfl90}
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}
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@article{ PhiVoj,
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author = {Phillips, J. D. and Vojt{\v e}chovsk{\a'y}, P.},
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title = {The varieties of loops of {B}ol-{M}oufang type},
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journal = {Algebra Universalis},
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pages = {259{\textendash}271},
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coden = {AGUVA3},
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fjournal = {Algebra Universalis},
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issn = {0002-5240},
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mrclass = {20N05},
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mrnumber = {2219409 (2007b:20147)},
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mrreviewer = {A. Schleiermacher},
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url = {http://dx.doi.org/10.1007/s00012-005-1941-1},
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doi = {10.1007/s00012-005-1941-1},
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printedkey = {PV05}
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}
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@article{ SlZe2011,
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author = {Slattery, M. and Zenisek, A.},
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title = {Moufang loops of order 243},
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journal = {Commentationes Mathematicae Universitatis Carolinae},
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pages = {423{\textendash}428},
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printedkey = {SZ12}
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||
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}
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@article{ Vo,
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||
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|
author = {Vojt{\v e}chovsk{\a'y}, P.},
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||
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|
title = {Toward the classification of {M}oufang loops of order
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64},
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journal = {European J. Combin.},
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fjournal = {European Journal of Combinatorics},
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issn = {0195-6698},
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mrclass = {20N05},
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mrnumber = {2206479 (2006k:20136)},
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doi = {10.1016/j.ejc.2004.10.003},
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|
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||
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|
}
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|
@article{ VoQRS,
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||
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|
author = {Vojt{\v e}chovsk{\a'y}, P.},
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||
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|
title = {Three lectures on automorphic loops},
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journal = {Quasigroups Related Systems},
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fjournal = {Quasigroups and Related Systems},
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mrclass = {20N05},
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mrreviewer = {{\a'A}gota Figula},
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||
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|
printedkey = {Voj15}
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||
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|
}
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||
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|
@article{ Wi,
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||
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|
author = {Wilson Jr., R. L.},
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|
title = {Quasidirect products of quasigroups},
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}
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