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Stein quasigroups II: algebraic aspects

Published online by Cambridge University Press:  17 April 2009

M.J. Pelling  and
D.G. Rogers
M.J. Pelling
Affiliation:
Balliol College, Oxford, England;
D.G. Rogers
Affiliation:
68 Liverpool Road, warford, Hertfordshire, England.
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Abstract

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This paper furthers the foundation of the theory of quasigroups obeying the law x(xy) = yx by studying their algebraic properties. Much information is obtained by analysing the cycle decomposition of left translations regarded as permutations, and other results are obtained by representation in terms of abelian groups with an operation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 3 , June 1979 , pp. 321 - 344
Copyright
Copyright © Australian Mathematical Society 1979

References

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