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Injective modules for group algebras of locally finite groups

Published online by Cambridge University Press:  24 October 2008

I. M. Musson
I. M. Musson
Affiliation:
University of Warwick
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Extract

Two recent results relate the existence of injective modules for group algebras which are ‘small’ in some sense to the structure of the group.

(1) The trivial kG-module is injective if and only if G is a locally finite group with no elements of order p = char k (9).

(2) If (G) is a countable group, then every irreducible kG-module is injective if and only if G is a locally finite p′ group which is abelian-by-finite (9) and (11)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 2 , September 1978 , pp. 247 - 262
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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