Modular group algebras of -separable -groups

Authors:
Rüdiger Göbel and Warren May

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2987-2992

MSC (2000):
Primary 20K10, 20C07; Secondary 20K25, 16S34

DOI:
https://doi.org/10.1090/S0002-9939-03-06818-7

Published electronically:
January 2, 2003

MathSciNet review:
1993203

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Abstract | References | Similar Articles | Additional Information

Abstract: Under the assumptions of MA and CH, it is proved that if is a field of prime characteristic and is an -separable abelian -group of cardinality , then an isomorphism of the group algebras and implies an isomorphism of and .

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Additional Information

**Rüdiger Göbel**

Affiliation:
Fachbereich 6, Mathematik und Informatik, Universität Essen, Universitätsstraße 3, D-45117 Essen, Germany

Email:
R.Goebel@uni-essen.de

**Warren May**

Affiliation:
Department of Mathematics, University of Arizona, Tucson, Arizona 85721

Email:
may@math.arizona.edu

DOI:
https://doi.org/10.1090/S0002-9939-03-06818-7

Received by editor(s):
January 25, 2002

Received by editor(s) in revised form:
April 18, 2002

Published electronically:
January 2, 2003

Communicated by:
Stephen D. Smith

Article copyright:
© Copyright 2003
American Mathematical Society