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\newblock Moufang loops that share associator and three quarters of their
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\newblock Solvability of commutative automorphic loops.
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\bibitem[GMR99]{Go}
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\newblock {\em The {M}oufang loops of order less than 64}.
\newblock Nova Science Publishers Inc., Commack, NY, 1999.

\bibitem[JKNV11]{JoKiNaVo}
K.~W. Johnson, M.~K. Kinyon, G.~P. Nagy, and P.~Vojt{\v e}chovsk{\a'y}.
\newblock Searching for small simple automorphic loops.
\newblock {\em LMS J. Comput. Math.}, 14:200{\textendash}213, 2011.

\bibitem[JKV12]{JeKiVo}
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\newblock Nilpotency in automorphic loops of prime power order.
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\newblock Generating uniformly distributed random {L}atin squares.
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\bibitem[KKP02]{KiKuPh}
M.~K. Kinyon, K.~Kunen, and J.~D. Phillips.
\newblock Every diassociative {$A$}-loop is {M}oufang.
\newblock {\em Proc. Amer. Math. Soc.}, 130(3):619{\textendash}624, 2002.

\bibitem[KKPV16]{KiKuPhVo}
M.~K. Kinyon, K.~Kunen, J.~D. Phillips, and P.~Vojt{\v e}chovsk{\a'y}.
\newblock The structure of automorphic loops.
\newblock {\em Trans. Amer. Math. Soc.}, 368(12):8901{\textendash}8927, 2016.

\bibitem[KNV15]{KiNaVo2015}
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\newblock Bol loops and bruck loops of order $pq$.
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\bibitem[Lie87]{Li}
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\bibitem[Moo]{Mo}
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\newblock Bol loops of small order.
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\bibitem[NV03]{NaVo2003}
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\newblock Octonions, simple {M}oufang loops and triality.
\newblock {\em Quasigroups Related Systems}, 10:65{\textendash}94, 2003.

\bibitem[NV07]{NaVo2007}
G.~P. Nagy and P.~Vojt{\v e}chovsk{\a'y}.
\newblock The {M}oufang loops of order 64 and 81.
\newblock {\em J. Symbolic Comput.}, 42(9):871{\textendash}883, 2007.

\bibitem[Pfl90]{Pf}
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\newblock {\em Quasigroups and loops: introduction}, volume~7 of {\em Sigma
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\newblock Heldermann Verlag, Berlin, 1990.

\bibitem[PV05]{PhiVoj}
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\newblock The varieties of loops of {B}ol-{M}oufang type.
\newblock {\em Algebra Universalis}, 54(3):259{\textendash}271, 2005.

\bibitem[SZ12]{SlZe2011}
M.~Slattery and A.~Zenisek.
\newblock Moufang loops of order 243.
\newblock {\em Commentationes Mathematicae Universitatis Carolinae},
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\bibitem[Voj06]{Vo}
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\newblock Toward the classification of {M}oufang loops of order 64.
\newblock {\em European J. Combin.}, 27(3):444{\textendash}460, 2006.

\bibitem[Voj15]{VoQRS}
P.~Vojt{\v e}chovsk{\a'y}.
\newblock Three lectures on automorphic loops.
\newblock {\em Quasigroups Related Systems}, 23(1):129{\textendash}163, 2015.

\bibitem[WJ75]{Wi}
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\newblock Quasidirect products of quasigroups.
\newblock {\em Comm. Algebra}, 3(9):835{\textendash}850, 1975.

\end{thebibliography}
