loops : a GAP 4 package - References

[Ar]

R. Artzy,
On automorphic-inverse properties in loops. Proc. Amer. Math. Soc. 10 (1959), 588--591.

[Br]

R. Hubert Bruck.
A Survey of Binary Systems, third printing, corrected. Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge 20, Springer-Verlag, 1971.

[ChPfSm]

O. Chein, H. O. Pflugfelder, J. D. H. Smith (editors).
Quasigroups and Loops: Theory and Applications, Sigma Series in Pure Mathematics 8, Heldermann Verlag Berlin, 1990.

[CoRo]

Charles J. Colbourn and Alexander Rosa.
Triple systems, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1999.

[CsDr]

Piroska Csörgö and Ale\vs Drápal.
Left conjugacy closed loops of nilpotency class two, Results Math. 47 (2005), no. 3--4, 242--265.

[DaVo]

Daniel Daly and Petr Vojt\vechovský,
Enumeration of nilpotent loops via cohomology, submitted.

[DrVo]

Ale\vs Drápal and Petr Vojt\vechovský.
Moufang loops that share associator and three quarters of their multiplication tables, Rocky Mountain Journal of Mathematics 36 (2006), no. 2, 425--455.

[Fe]

Ferenc Fenyves.
Extra loops II, On loops with identities of Bol-Moufang type, Publ. Math. Debrecen 16(1969), 187--192.

[Go]

Edgar G. Goodaire, Sean May and Maitreyi Raman.
The Moufang loops of order less than 64, Commack, NY: Nova Science Publishers, 1999.

[JaMa]

Mark T. Jacobson and Peter Matthews.
Generating uniformly distributed random latin squares, J. Combinatorial Designs 4(1998), no. 6, 405--437.

[KiKuPh]

Michael K. Kinyon, Kenneth Kunen, and J. D. Phillips,
Every diassociative A-loop is Moufang, Proc. Amer. Math. Soc. 130 (2002), 619--624.

[Ku]

Kenneth Kunen.
The structure of conjugacy closed loops, Trans. Amer. Math. Soc. 352 (2000), 2889--2911.

[Li]

M. Liebeck.
The classification of finite simple Moufang loops, Math. Proc. Cambridge Philos. Soc. 102 (1987), 33--47.

[Mo]

G. Eric Moorhouse.
Bol loops of small order, http://www.uwyo.edu/moorhouse/pub/bol/

[Na]

Gábor P. Nagy,
A class of simple proper Bol loops, preprint.

[NaVo2003]

Gábor P. Nagy and Petr Vojt\vechovský.
Octonions, simple Moufang loops and triality, Quasigroups and Related Systems 10 (2003), 65--94.

[NaVo2007]

Gábor P. Nagy and Petr Vojt\vechovský.
The Moufang loops of order 64 and 81, to appear in Journal of Symbolic Computation.

[Pf]

Hala O. Pflugfelder.
Quasigroups and Loops: Introduction, Sigma Series in Pure Mathematics 7, Heldermann Verlag Berlin, 1990.

[PhVo]

J. D. Phillips and Petr Vojt\vechovský.
Varieties of loops of Bol-Moufang type, Algebra Universalis 54 (2005), no. 3, 259--271.

[Vo]

Petr Vojt\vechovský.
Toward the classification of Moufang loops of order 64, European Journal of Combinatorics 27, issue 3 (April 2006), 444-460.

[Wi]

R. L. Wilson, Jr.
Quasidirect products of quasigroups, Comm. Algebra 3 (1975), 835--850.

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