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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