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Duality for finite abelian hypergroups over splitting fields

Published online by Cambridge University Press:  17 April 2009

J.R. McMullen  and
J.F. Price
J.R. McMullen
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales
J.F. Price
Affiliation:
School of Mathematics, University of New South Wales, Kensington, New South Wales.
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Abstract

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A duality theory for finite abelian hypergroups over fairly general fields is presented, which extends the classical duality for finite abelian groups. In this precise sense the set of conjugacy classes and the set of characters of a finite group are dual as hypergroups.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 1 , January 1979 , pp. 57 - 70
Copyright
Copyright © Australian Mathematical Society 1979

References

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