Injective modules for group algebras of locally finite groups
Published online by Cambridge University Press: 24 October 2008
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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