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Varieties of quasigroups and related topics

Published online by Cambridge University Press:  17 April 2009

Darryn E. Bryant
Darryn E. Bryant
Affiliation:
Department of Mathematics, The University of Queensland, Queensland Aust. 4072
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 1 , August 1993 , pp. 171 - 172
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Bryant, D.E., ‘Varieties of quasigroups arising from 2-perfect m−cycle systems’, Des. Codes Cryptogr. 2 (1992), 159–168.Google Scholar
[2]Bryant, D.E., ‘Varieties of P-quasigroups’, Australas. J. Combin. 6 (1992), 229–243.Google Scholar
[3]Bryant, D.E., ‘Decompositions of directed graphs with loops and related algebras’, Ars Combin. (to appear).Google Scholar
[4]Bryant, D.E. and Lindner, C.C., ‘2-perfect m−cycle systems can be equationally defined for m = 3,5 and 7 only’, Algebra Universalis (to appear).Google Scholar
[5]Bryant, D.E. and Oates-Williams, S., ‘Constructing laws for finite quasigroups’, Comm. Algebra (submitted).Google Scholar
[6]Lindner, C.C., ‘Graph decompositions and quasigroup identities’, in Proceedings of the 2nd International Catania Combinatorial Conference, Graphs, designs and combinatorial geometries (Universita di Catania, Sicily, September 4–9, 1989). Le Matematiche XLV (1990), 83–118.Google Scholar
[7]Lindner, C.C., Phelps, K.T. and Rodger, C.A., ‘The spectrum for 2-perfect 6-cycle systems’, J. Combin. Theory Ser. A 57 (1991), 76–85.Google Scholar