# loops : a GAP 4 package - References

[Ar]
  R. Artzy.
  On automorphic-inverse properties in loops.
  Proc. Amer. Math. Soc., 10:588--591, 1959.
[Br]
  Richard Hubert Bruck.
  A survey of binary systems.
  Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 20. Reihe: Gruppentheorie. Springer Verlag, Berlin, 1958.
[CsDr]
  Piroska Cs"orgö and Ale\vs Drápal.
  Left conjugacy closed loops of nilpotency class two.
  Results Math., 47(3-4):242--265, 2005.
[CoRo]
  Charles J. Colbourn and Alexander Rosa.
  Triple systems.
  Oxford Mathematical Monographs. The Clarendon Press Oxford University Press, New York, 1999.
[DrVo]
  Ale\vs Drápal and Petr Vojt\vechovský.
  Moufang loops that share associator and three quarters of their multiplication tables.
  Rocky Mountain J. Math., 36(2):425--455, 2006.
[DaVo]
  Daniel Daly and Petr Vojt\vechovský.
  Enumeration of nilpotent loops via cohomology.
  J. Algebra, 322(11):4080--4098, 2009.
[Fe]
  Ferenc Fenyves.
  Extra loops. II. On loops with identities of Bol-Moufang type.
  Publ. Math. Debrecen, 16:187--192, 1969.
[Go]
  Edgar G. Goodaire, Sean May, and Maitreyi Raman.
  The Moufang loops of order less than 64.
  Nova Science Publishers Inc., Commack, NY, 1999.
[JaMa]
  Mark T. Jacobson and Peter Matthews.
  Generating uniformly distributed random Latin squares.
  J. Combin. Des., 4(6):405--437, 1996.
[KiKuPh]
  Michael K. Kinyon, Kenneth Kunen, and J. D. Phillips.
  Every diassociative A-loop is Moufang.
  Proc. Amer. Math. Soc., 130(3):619--624, 2002.
[Ku]
  Kenneth Kunen.
  The structure of conjugacy closed loops.
  Trans. Amer. Math. Soc., 352(6):2889--2911, 2000.
[Li]
  Martin W. Liebeck.
  The classification of finite simple Moufang loops.
  Math. Proc. Cambridge Philos. Soc., 102(1):33--47, 1987.
[Mo]
  G. Eric Moorhouse.
  Bol loops of small order.
  http://www.uwyo.edu/moorhouse/pub/bol/, 2007.
[Na]
  Gábor P. Nagy.
  A class of simple proper Bol loops.
  Manuscripta Math., 127(1):81--88, 2008.
[NaVo2003]
  Gábor P. Nagy and Petr Vojt\vechovský.
  Octonions, simple Moufang loops and triality.
  Quasigroups Related Systems, 10:65--94, 2003.
[NaVo2007]
  Gábor P. Nagy and Petr Vojt\vechovský.
  The Moufang loops of order 64 and 81.
  J. Symbolic Comput., 42(9):871--883, 2007.
[Pf]
  Hala O. Pflugfelder.
  Quasigroups and loops: introduction, volume 7 of Sigma Series in Pure Mathematics.
  Heldermann Verlag, Berlin, 1990.
[PhVo]
  J. D. Phillips and Petr Vojt\vechovský.
  The varieties of loops of Bol-Moufang type.
  Algebra Universalis, 54(3):259--271, 2005.
[SlZe2011]
  M. Slattery and A Zenisek.
  Moufang loops of order 243.
  Preprint, 2011.
[Vo]
  Petr Vojt\vechovský.
  Toward the classification of Moufang loops of order 64.
  European J. Combin., 27(3):444--460, 2006.
[Wi]
  Robert L. Wilson, Jr.
  Quasidirect products of quasigroups.
  Comm. Algebra, 3(9):835--850, 1975.

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