691 lines
22 KiB
BibTeX
691 lines
22 KiB
BibTeX
\begin{thebibliography}{99}
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\bibitem{Artic}
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Katharina~Artic
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\newblock{On conjugacy closed loops and conjugacy closed loop folders}.
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PhD Dissertation, RWTH Aachen University, 2015
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@phdthesis {Artic,
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AUTHOR = {Artic, Katharina},
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TITLE = {On conjugacy closed loops and conjugacy closed loop folders},
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SCHOOL = {RWTH Aachen University},
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YEAR = {2015},
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}
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\bibitem{Ar}
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R.~Artzy,
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\newblock {\it On automorphic-inverse properties in loops}.
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Proc. Amer. Math. Soc. {10} (1959), 588--591.
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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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FJOURNAL = {Proceedings of the American Mathematical Society},
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VOLUME = {10},
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YEAR = {1959},
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PAGES = {588--591},
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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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}
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\bibitem{BaGrVo}
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Dylene Agda Souza De Barros, Alexander Grishkov and Petr Vojt\v{e}chovsk\'y,
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\newblock {\it Commutative automorphic loops of order $p^3$},
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J. Algebra Appl. 11 (2012), no. 5, 1250100, 15 pp.
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@article {BaGrVo,
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AUTHOR = {De Barros, Dylene Agda Souza and Grishkov, Alexander and
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Vojt{\v{e}}chovsk{\'y}, Petr},
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TITLE = {Commutative automorphic loops of order {$p^3$}},
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JOURNAL = {J. Algebra Appl.},
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FJOURNAL = {Journal of Algebra and its Applications},
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VOLUME = {11},
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YEAR = {2012},
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PAGES = {1250100, 15},
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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}gota Figula},
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DOI = {10.1142/S0219498812501009},
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URL = {http://dx.doi.org/10.1142/S0219498812501009},
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}
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\bibitem{Br}
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R.~Hubert~Bruck.
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\newblock A Survey of Binary Systems, third printing, corrected. {\it Ergebnisse der
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Mathematik und ihrer Grenzgebiete}, {\it Neue Folge} {20},
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Springer-Verlag, 1971.
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@book {Br,
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AUTHOR = {Bruck, Richard Hubert},
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TITLE = {A survey of binary systems},
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SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge,
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Heft 20. Reihe: Gruppentheorie},
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PUBLISHER = {Springer Verlag},
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ADDRESS = {Berlin},
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YEAR = {1958},
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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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}
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\bibitem{BrPa}
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R.H.~Bruck and Lowell J.~Paige.
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\newblock {\it Loops whose inner mappings are automorphisms},
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Ann. of Math. (2) 63 (1956), 308--323.
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@article {BrPa,
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AUTHOR = {Bruck, R. H. and Paige, Lowell 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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FJOURNAL = {Annals of Mathematics. Second Series},
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VOLUME = {63},
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YEAR = {1956},
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PAGES = {308--323},
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MRNUMBER = {0076779},
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MRREVIEWER = {R. Moufang},
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}
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\bibitem{ChPfSm}
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O.~Chein, H.~O.~Pflugfelder, J.~D.~H.~Smith (editors).
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\newblock Quasigroups and Loops: Theory and Applications, {\it Sigma Series in Pure
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Mathematics} {8}, Heldermann Verlag Berlin, 1990.
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@book {ChPfSm,
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TITLE = {Quasigroups and loops: theory and applications},
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SERIES = {Sigma Series in Pure Mathematics},
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VOLUME = {8},
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EDITOR = {Chein, O. and Pflugfelder, H. O. and Smith, J. D. H.},
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PUBLISHER = {Heldermann Verlag},
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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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}
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\bibitem{CoRo}
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Charles J.~Colbourn and Alexander Rosa.
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\newblock Triple systems, {\it Oxford Mathematical Monographs}, The Clarendon Press,
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Oxford University Press, New York, 1999.
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@book {CoRo,
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AUTHOR = {Colbourn, Charles J. and Rosa, Alexander},
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TITLE = {Triple systems},
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SERIES = {Oxford Mathematical Monographs},
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PUBLISHER = {The Clarendon Press Oxford University Press},
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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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}
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\bibitem{CsDr}
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Piroska Cs\"org\H{o} and Ale\v{s} Dr\'apal.
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\newblock {\it Left conjugacy closed loops of nilpotency class two},
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Results Math. {47} (2005), no. {3}--{4}, 242--265.
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@article {CsDr,
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AUTHOR = {Cs{\"o}rg{\H{o}}, Piroska and Dr{\'a}pal, Ale{\v{s}}},
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TITLE = {Left conjugacy closed loops of nilpotency class two},
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JOURNAL = {Results Math.},
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FJOURNAL = {Results in Mathematics. Resultate der Mathematik},
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VOLUME = {47},
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YEAR = {2005},
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NUMBER = {3-4},
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PAGES = {242--265},
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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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}
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\bibitem{DaVo}
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Daniel Daly and Petr Vojt\v{e}chovsk\'y,
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\newblock {\it Enumeration of nilpotent loops via cohomology},
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Journal of Algebra {322} (2009), no. {11}, 4080--4098.
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@article {DaVo,
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AUTHOR = {Daly, Daniel and Vojt{\v{e}}chovsk{\'y}, Petr},
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TITLE = {Enumeration of nilpotent loops via cohomology},
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JOURNAL = {J. Algebra},
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FJOURNAL = {Journal of Algebra},
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VOLUME = {322},
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YEAR = {2009},
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NUMBER = {11},
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PAGES = {4080--4098},
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ISSN = {0021-8693},
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CODEN = {JALGA4},
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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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DOI = {10.1016/j.jalgebra.2009.03.042},
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URL = {http://dx.doi.org/10.1016/j.jalgebra.2009.03.042},
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}
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\bibitem{DrapalCD}
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Ale\v{s} Dr\'apal.
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\newblock {\it Cyclic and dihedral constructions of even order},
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Comment. Math. Univ. Carolin. {44} (2003), no. {4}, 593--614.
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@article {DrapalCD,
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AUTHOR = {Dr{\'a}pal, Ale{\v{s}}},
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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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FJOURNAL = {Commentationes Mathematicae Universitatis Carolinae},
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VOLUME = {44},
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YEAR = {2003},
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NUMBER = {4},
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PAGES = {593--614},
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CODEN = {},
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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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DOI = {},
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URL = {},
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}
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\bibitem{DrVo}
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Ale\v{s} Dr\'apal and Petr Vojt\v{e}chovsk\'y.
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\newblock {\it Moufang loops that share associator and three quarters of their
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multiplication tables},
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Rocky Mountain Journal of Mathematics {36} (2006), no. {2}, 425--455.
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@article {DrVo,
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AUTHOR = {Dr{\'a}pal, Ale{\v{s}} and Vojt{\v{e}}chovsk{\'y}, Petr},
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TITLE = {Moufang loops that share associator and three quarters of
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their multiplication tables},
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JOURNAL = {Rocky Mountain J. Math.},
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FJOURNAL = {The Rocky Mountain Journal of Mathematics},
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VOLUME = {36},
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YEAR = {2006},
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PAGES = {425--455},
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CODEN = {RMJMAE},
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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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DOI = {10.1216/rmjm/1181069461},
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URL = {http://dx.doi.org/10.1216/rmjm/1181069461},
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}
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\bibitem{Fe}
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Ferenc Fenyves.
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\newblock {\it Extra loops II, On loops with identities of Bol-Moufang type},
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Publ. Math. Debrecen {16}(1969), 187--192.
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@article {Fe,
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AUTHOR = {Fenyves, Ferenc},
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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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FJOURNAL = {Publicationes Mathematicae Debrecen},
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VOLUME = {16},
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YEAR = {1969},
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PAGES = {187--192},
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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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}
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\bibitem{Go}
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Edgar G. Goodaire, Sean May and Maitreyi Raman.
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\newblock The Moufang loops of order less than $64$, Commack, NY: Nova Science
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Publishers, 1999.
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@book {Go,
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AUTHOR = {Goodaire, Edgar G. and May, Sean and Raman, Maitreyi},
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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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}
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\bibitem{Greer}
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Mark Greer.
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\newblock{\it A class of loops categorically isomorphic to Bruck loops of odd order},
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Comm. Algebra {42} (2014), 3682--3697.
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@article {Greer,
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AUTHOR = {Greer, Mark},
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TITLE = {A class of loops categorically isomorphic to {B}ruck loops of odd order},
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JOURNAL = {Comm. Algebra},
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FJOURNAL = {Communications in Algebra},
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VOLUME = {42},
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YEAR = {2014},
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NUMBER = {8},
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PAGES = {3682--3697},
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ISSN = {0092-7872},
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MRCLASS = {20N05},
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MRNUMBER = {3196069},
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MRREVIEWER = {Anil Kumar V.},
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URL = {https://doi.org/10.1080/00927872.2013.791304},
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}
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\bibitem{GrKiNa}
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Alexander Grishkov, Michael Kinyon and G\'abor Nagy.
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\newblock {\it Solvability of commutative automorphic loops},
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Proc. Amer. Math. Soc. {142} (2014), no. 9, 3029--3037.
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@article {GrKiNa,
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AUTHOR = {Grishkov, Alexander and Kinyon, Michael and Nagy, G{\'a}bor
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P.},
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TITLE = {Solvability of commutative automorphic loops},
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JOURNAL = {Proc. Amer. Math. Soc.},
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FJOURNAL = {Proceedings of the American Mathematical Society},
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VOLUME = {142},
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YEAR = {2014},
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NUMBER = {9},
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PAGES = {3029--3037},
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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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DOI = {10.1090/S0002-9939-2014-12053-3},
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URL = {http://dx.doi.org/10.1090/S0002-9939-2014-12053-3},
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}
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\bibitem{JaMa}
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Mark T. Jacobson and Peter Matthews.
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\newblock {\it Generating uniformly distributed random latin squares},
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J. Combinatorial Designs {4}(1998), no. {6}, 405--437.
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AUTHOR = {Jacobson, Mark T. and Matthews, Peter},
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TITLE = {Generating uniformly distributed random {L}atin squares},
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JOURNAL = {J. Combin. Des.},
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MRREVIEWER = {Lars D{\o}vling Andersen},
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URL =
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{http://dx.doi.org/10.1002/(SICI)1520-6610(1996)4:6<405::AID-JCD3>3.0.CO;2-J},
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}
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\bibitem{JeKiVo}
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P\v{r}emysl Jedli\v{c}ka, Michael Kinyon and Petr Vojt\v{e}chovsk\'y,
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\newblock {\it Nilpotency in automorphic loops of prime power order},
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J. Algebra {350} (2012), 64--76.
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@article {JeKiVo,
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AUTHOR = {Jedli{\v{c}}ka, P{\v{r}}emysl and Kinyon, Michael and
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Vojt{\v{e}}chovsk{\'y}, Petr},
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TITLE = {Nilpotency in automorphic loops of prime power order},
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JOURNAL = {J. Algebra},
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FJOURNAL = {Journal of Algebra},
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VOLUME = {350},
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YEAR = {2012},
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PAGES = {64--76},
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ISSN = {0021-8693},
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CODEN = {JALGA4},
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MRCLASS = {20N05},
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MRNUMBER = {2859875},
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MRREVIEWER = {Mohammad Shahryari},
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DOI = {10.1016/j.jalgebra.2011.09.034},
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URL = {http://dx.doi.org/10.1016/j.jalgebra.2011.09.034},
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}
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\bibitem{JoKiNaVo}
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Kenneth W. Johnson, Michael K. Kinyon, G\'abor P. Nagy and Petr Vojt{\v{e}}chovsk{\'y}.
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\newblock {\it Searching for small simple automorphic loops},
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LMS J. Comput. Math. {14} (2011), 200--213.
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@article {JoKiNaVo,
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AUTHOR = {Johnson, Kenneth W. and Kinyon, Michael K. and Nagy, G{\'a}bor
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P. and Vojt{\v{e}}chovsk{\'y}, Petr},
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TITLE = {Searching for small simple automorphic loops},
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JOURNAL = {LMS J. Comput. Math.},
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FJOURNAL = {LMS Journal of Computation and Mathematics},
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|
VOLUME = {14},
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YEAR = {2011},
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PAGES = {200--213},
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ISSN = {1461-1570},
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MRCLASS = {20N05 (20B15 20B40)},
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MRNUMBER = {2831230},
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MRREVIEWER = {Tuval S. Foguel},
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DOI = {10.1112/S1461157010000173},
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URL = {http://dx.doi.org/10.1112/S1461157010000173},
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}
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\bibitem{KiKuPh}
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Michael K. Kinyon, Kenneth Kunen, and J. D. Phillips,
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\newblock {\it Every diassociative A-loop is Moufang},
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Proc. Amer. Math. Soc. {130} (2002), 619--624.
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@article {KiKuPh,
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AUTHOR = {Kinyon, Michael K. and Kunen, Kenneth 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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FJOURNAL = {Proceedings of the American Mathematical Society},
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CODEN = {PAMYAR},
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MRNUMBER = {1866009 (2002k:20124)},
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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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|
}
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\bibitem{KiKuPhVo}
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Michael K. Kinyon, Kenneth Kunen, J. D. Phillips and Petr Vojt\v{e}chovsk\'y.
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\newblock {\it The structure of automorphic loops},
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Trans. Amer. Math. Soc. {368} (2016), no. 12, 8901--8927.
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@article {KiKuPhVo,
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AUTHOR = {Kinyon, Michael K. and Kunen, Kenneth and Phillips, J. D. and
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Vojt{\v{e}}chovsk{\'y}, Petr},
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TITLE = {The structure of automorphic loops},
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JOURNAL = {Trans. Amer. Math. Soc.},
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FJOURNAL = {Transactions of the American Mathematical Society},
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VOLUME = {368},
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YEAR = {2016},
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NUMBER = {12},
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PAGES = {8901--8927},
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ISSN = {0002-9947},
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CODEN = {TAMTAM},
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MRCLASS = {20N05},
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|
MRNUMBER = {3551593},
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|
DOI = {10.1090/tran/6622},
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URL = {http://dx.doi.org/10.1090/tran/6622},
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|
}
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\bibitem{KiNaVo2015}
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Michael K. Kinyon, G\'abor P. Nagy and Petr Vojt{\v{e}}chovsk{\'y},
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\newblock {\it Bol loops and Bruck loops of order $pq$},
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preprint.
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@article {KiNaVo2015,
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AUTHOR = {Kinyon, Michael K. and Nagy, G\'abor P. and Vojt{\v{e}}chovsk{\'y}, Petr},
|
|
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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}
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\bibitem{Kun}
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Kenneth Kunen.
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\newblock {\it The structure of conjugacy closed loops},
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Trans. Amer. Math. Soc. {352} (2000), 2889--2911.
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@article {Kun,
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