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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The isomorphism question for modular group algebras of metacyclic $p$-groups
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by Czesław Bagiński PDF
Proc. Amer. Math. Soc. 104 (1988), 39-42 Request permission

Abstract:

Let $F[G]$ be a group algebra of a finite $p$-group $G$ over the field $F = GF(p)$. If $G \simeq H$, then clearly $F[G] \simeq F[H]$. However, it is not known whether the converse is true. The answer for metacyclic $p$-groups, $p > 3$, is given.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 39-42
  • MSC: Primary 20C05; Secondary 16A26
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958039-8
  • MathSciNet review: 958039