loops : a GAP 4 package - References

[Artic]

K. Artic.
On conjugacy closed loops and conjugacy closed loop folders.
PhD Dissertation, RWTH Aachen University, 2015.

[Ar]

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

[Br]

R.H. Bruck.
A survey of binary systems.
Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 20. Reihe: Gruppentheorie. Springer Verlag, Berlin, 1958.

[ChPfSm]

O. Chein, H.O. Pflugfelder, and J.D.H. Smith, editors.
Quasigroups and loops: theory and applications, volume 8 of Sigma Series in Pure Mathematics.
Heldermann Verlag, Berlin, 1990.

[CoRo]

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

[CsDr]

P. Cs"orgö and A. Drápal.
Left conjugacy closed loops of nilpotency class two.
Results Math., 47(3-4):242--265, 2005.

[DaVo]

D. Daly and P. Vojt\vechovský.
Enumeration of nilpotent loops via cohomology.
J. Algebra, 322(11):4080--4098, 2009.

[DrVo]

A. Drápal and P. Vojt\vechovský.
Moufang loops that share associator and three quarters of their multiplication tables.
Rocky Mountain J. Math., 36(2):425--455, 2006.

[Fe]

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

[Go]

E.G. Goodaire, S. May, and M. Raman.
The Moufang loops of order less than 64.
Nova Science Publishers Inc., Commack, NY, 1999.

[JaMa]

M.T. Jacobson and P. Matthews.
Generating uniformly distributed random Latin squares.
J. Combin. Des., 4(6):405--437, 1996.

[KiKuPh]

M.K. Kinyon, K. Kunen, and J.D. Phillips.
Every diassociative A-loop is Moufang.
Proc. Amer. Math. Soc., 130(3):619--624, 2002.

[Ku]

K. Kunen.
The structure of conjugacy closed loops.
Trans. Amer. Math. Soc., 352(6):2889--2911, 2000.

[Li]

M.W. Liebeck.
The classification of finite simple Moufang loops.
Math. Proc. Cambridge Philos. Soc., 102(1):33--47, 1987.

[Mo]

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

[Na]

G.P. Nagy.
A class of simple proper Bol loops.
Manuscripta Math., 127(1):81--88, 2008.

[NaVo2003]

G.P. Nagy and P. Vojt\vechovský.
Octonions, simple Moufang loops and triality.
Quasigroups Related Systems, 10:65--94, 2003.

[NaVo2007]

G.P. Nagy and P. Vojt\vechovský.
The Moufang loops of order 64 and 81.
J. Symbolic Comput., 42(9):871--883, 2007.

[Pf]

H.O. Pflugfelder.
Quasigroups and loops: introduction, volume 7 of Sigma Series in Pure Mathematics.
Heldermann Verlag, Berlin, 1990.

[PhVo]

J.D. Phillips and P. 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.
Commentationes Mathematicae Universitatis Carolinae, 53(3):423--428, 2012.

[Vo]

P. Vojt\vechovský.
Toward the classification of Moufang loops of order 64.
European J. Combin., 27(3):444--460, 2006.

[Wi]

R.L. Wilson, Jr.
Quasidirect products of quasigroups.
Comm. Algebra, 3(9):835--850, 1975.

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