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Indecomposable modules
for direct products of finite groups
Harvey Isaac Blau |
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Vol. 54 (1974), No. 1, 39–44
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Abstract |
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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
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Milestones
Received: 2 May 1973
Published: 1 September 1974
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Authors |
| Harvey Isaac Blau | |
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