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On Isomorphisms of Abelian Group Algebras

Published online by Cambridge University Press:  20 November 2018

Eugene Spiegel
Eugene Spiegel*
Affiliation:
University of Connecticut, Storrs, Connecticut
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For F a field and G a group, let FG = F(G) be the group algebra of G over F. It is a class of finite abelian groups, F induces an equivalence relation on by are equivalent if and only if FG ⋍ FH. We will call two fields F and K equivalent on if they induce the same equivalence relation on We will say F is equivalent to isomorphism on if FG ⋍ FH if and only if G ⋍ H for any two elements .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 1 , 01 February 1975 , pp. 155 - 161
Copyright
Copyright © Canadian Mathematical Society 1975

References

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