162 lines
5.7 KiB
Plaintext
162 lines
5.7 KiB
Plaintext
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\begin{thebibliography}{DBGV12}
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\bibitem[Art59]{Ar}
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R.~Artzy.
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\newblock On automorphic-inverse properties in loops.
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\newblock {\em Proc. Amer. Math. Soc.}, 10:588{\textendash}591, 1959.
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\bibitem[Art15]{Artic}
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K.~Artic.
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\newblock {\em On conjugacy closed loops and conjugacy closed loop folders}.
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\newblock PhD thesis, RWTH Aachen University, 2015.
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|
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\bibitem[BP56]{BrPa}
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R.~H. Bruck and L.~J. Paige.
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\newblock Loops whose inner mappings are automorphisms.
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\newblock {\em Ann. of Math. (2)}, 63:308{\textendash}323, 1956.
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\bibitem[Bru58]{Br}
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R.~H. Bruck.
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\newblock {\em A survey of binary systems}.
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\newblock Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft
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20. Reihe: Gruppentheorie. Springer Verlag, Berlin, 1958.
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|
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\bibitem[CD05]{CsDr}
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P.~Cs{\"o}rg{\H o} and A.~Dr{\a'a}pal.
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\newblock Left conjugacy closed loops of nilpotency class two.
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\newblock {\em Results Math.}, 47(3-4):242{\textendash}265, 2005.
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\bibitem[CR99]{CoRo}
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|
C.~J. Colbourn and A.~Rosa.
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\newblock {\em Triple systems}.
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\newblock Oxford Mathematical Monographs. The Clarendon Press Oxford University
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Press, New York, 1999.
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|
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\bibitem[DBGV12]{BaGrVo}
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D.~A.~S. De~Barros, A.~Grishkov, and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Commutative automorphic loops of order {$p^3$}.
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\newblock {\em J. Algebra Appl.}, 11(5):1250100, 15, 2012.
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\bibitem[Dr{\a'a}03]{DrapalCD}
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A.~Dr{\a'a}pal.
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\newblock Cyclic and dihedral constructions of even order.
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\newblock {\em Comment. Math. Univ. Carolin.}, 44(4):593{\textendash}614, 2003.
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|
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|
\bibitem[DV06]{DrVo}
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A.~Dr{\a'a}pal and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Moufang loops that share associator and three quarters of their
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multiplication tables.
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\newblock {\em Rocky Mountain J. Math.}, 36(2):425{\textendash}455, 2006.
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|
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\bibitem[DV09]{DaVo}
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D.~Daly and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Enumeration of nilpotent loops via cohomology.
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\newblock {\em J. Algebra}, 322(11):4080{\textendash}4098, 2009.
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\bibitem[Fen69]{Fe}
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F.~Fenyves.
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\newblock Extra loops. {II}. {O}n loops with identities of {B}ol-{M}oufang
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type.
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\newblock {\em Publ. Math. Debrecen}, 16:187{\textendash}192, 1969.
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\bibitem[GKN14]{GrKiNa}
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A.~Grishkov, M.~Kinyon, and G.~P. Nagy.
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\newblock Solvability of commutative automorphic loops.
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\newblock {\em Proc. Amer. Math. Soc.}, 142(9):3029{\textendash}3037, 2014.
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|
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\bibitem[GMR99]{Go}
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E.~G. Goodaire, S.~May, and M.~Raman.
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\newblock {\em The {M}oufang loops of order less than 64}.
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\newblock Nova Science Publishers Inc., Commack, NY, 1999.
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|
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\bibitem[JKNV11]{JoKiNaVo}
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K.~W. Johnson, M.~K. Kinyon, G.~P. Nagy, and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Searching for small simple automorphic loops.
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\newblock {\em LMS J. Comput. Math.}, 14:200{\textendash}213, 2011.
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\bibitem[JKV12]{JeKiVo}
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P.~Jedli{\v c}ka, M.~Kinyon, and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Nilpotency in automorphic loops of prime power order.
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\newblock {\em J. Algebra}, 350:64{\textendash}76, 2012.
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\bibitem[JM96]{JaMa}
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M.~T. Jacobson and P.~Matthews.
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\newblock Generating uniformly distributed random {L}atin squares.
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\newblock {\em J. Combin. Des.}, 4(6):405{\textendash}437, 1996.
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|
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\bibitem[KKP02]{KiKuPh}
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M.~K. Kinyon, K.~Kunen, and J.~D. Phillips.
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\newblock Every diassociative {$A$}-loop is {M}oufang.
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\newblock {\em Proc. Amer. Math. Soc.}, 130(3):619{\textendash}624, 2002.
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\bibitem[KKPV16]{KiKuPhVo}
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M.~K. Kinyon, K.~Kunen, J.~D. Phillips, and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock The structure of automorphic loops.
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\newblock {\em Trans. Amer. Math. Soc.}, 368(12):8901{\textendash}8927, 2016.
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\bibitem[KNV15]{KiNaVo2015}
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M.~K. Kinyon, G.~P. Nagy, and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Bol loops and bruck loops of order $pq$.
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\newblock 2015.
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\newblock preprint.
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\bibitem[Kun00]{Kun}
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K.~Kunen.
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\newblock The structure of conjugacy closed loops.
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\newblock {\em Trans. Amer. Math. Soc.}, 352(6):2889{\textendash}2911, 2000.
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\bibitem[Lie87]{Li}
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M.~W. Liebeck.
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\newblock The classification of finite simple {M}oufang loops.
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\newblock {\em Math. Proc. Cambridge Philos. Soc.}, 102(1):33{\textendash}47,
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1987.
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\bibitem[Moo]{Mo}
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G.~E. Moorhouse.
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\newblock Bol loops of small order.
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\newblock http://www.uwyo.edu/moorhouse/pub/bol/.
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\bibitem[NV03]{NaVo2003}
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G.~P. Nagy and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Octonions, simple {M}oufang loops and triality.
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\newblock {\em Quasigroups Related Systems}, 10:65{\textendash}94, 2003.
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\bibitem[NV07]{NaVo2007}
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G.~P. Nagy and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock The {M}oufang loops of order 64 and 81.
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\newblock {\em J. Symbolic Comput.}, 42(9):871{\textendash}883, 2007.
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\bibitem[Pfl90]{Pf}
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H.~O. Pflugfelder.
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\newblock {\em Quasigroups and loops: introduction}, volume~7 of {\em Sigma
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Series in Pure Mathematics}.
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\newblock Heldermann Verlag, Berlin, 1990.
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\bibitem[PV05]{PhiVoj}
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J.~D. Phillips and P.~Vojt{\v e}chovsk{\a'y}.
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\newblock The varieties of loops of {B}ol-{M}oufang type.
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\newblock {\em Algebra Universalis}, 54(3):259{\textendash}271, 2005.
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\bibitem[SZ12]{SlZe2011}
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M.~Slattery and A.~Zenisek.
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\newblock Moufang loops of order 243.
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\newblock {\em Commentationes Mathematicae Universitatis Carolinae},
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53(3):423{\textendash}428, 2012.
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\bibitem[Voj06]{Vo}
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P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Toward the classification of {M}oufang loops of order 64.
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\newblock {\em European J. Combin.}, 27(3):444{\textendash}460, 2006.
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\bibitem[Voj15]{VoQRS}
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P.~Vojt{\v e}chovsk{\a'y}.
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\newblock Three lectures on automorphic loops.
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\newblock {\em Quasigroups Related Systems}, 23(1):129{\textendash}163, 2015.
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\bibitem[WJ75]{Wi}
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R.~L. Wilson~Jr.
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\newblock Quasidirect products of quasigroups.
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\newblock {\em Comm. Algebra}, 3(9):835{\textendash}850, 1975.
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\end{thebibliography}
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