Vol. 54, No. 1, 1974

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Indecomposable modules for direct products of finite groups

Harvey Isaac Blau

Vol. 54 (1974), No. 1, 39–44
Abstract

An essentially known result is made explicit and its converse is proved, thereby showing that if K is a field of prime characteristic p,P a finite p-group and H a finite p. group, then every finitely generated indecomposable K(P × H). module is a tensor product of an indecomposable KP-module with an indecomposable KH-module if and only if either P is cyclic or K is a splitting field for H.

Mathematical Subject Classification 2000
Primary: 20C05
Milestones
Received: 2 May 1973
Published: 1 September 1974
Authors
Harvey Isaac Blau