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Entropy, character theory and centrality of finite quasigroups

Published online by Cambridge University Press:  24 October 2008

Jonathan D. H. Smith
Jonathan D. H. Smith
Affiliation:
Department of Mathematics, Iowa State University, Ames, Iowa 50011, U.S.A.
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Abstract

The paper introduces concepts of entropy and asymptotic entropy for finite quasigroups. A quasigroup is abelian if and only if its entropy is maximal. It is a З-quasigroup if and only if its asymptotic entropy is maximal.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 3 , November 1990 , pp. 435 - 443
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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