An integral homological characterization of finite groups

We show that a group G is finite if and only if every injective Z G -module has projective length one.

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Bibliographic Details
Published in:Journal of algebra 2008, Vol.319 (1), p.267-271
Main Authors: Dembegioti, Fotini, Talelli, Olympia
Format: Article
Language:English
Subjects:
Finitistic dimension of [formula omitted]
formula omitted
Groups acting on trees
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Description
Summary:We show that a group G is finite if and only if every injective Z G -module has projective length one.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2007.09.025