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On the Structure of Group Algebras, I

Published online by Cambridge University Press:  20 November 2018

James A. Cohn  and
Donald Livingstone
James A. Cohn
Affiliation:
University of Michigan
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With this paper we begin a study of the structure of the group algebra RG of a finite group G over the ring of algebraic integers R in an algebraic number field k. The basic question is whether non-isomorphic groups can have isomorphic algebras over R. We shall show that this is impossible if G is

  • (a) abelian,

  • (b) Hamiltonian,

  • (c) one of a special class of p-groups.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 583 - 593
Copyright
Copyright © Canadian Mathematical Society 1965

References

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