A NOTE ON COMPLETE RESOLUTIONS

It is shown that the Eckmann-Shapiro Lemma holds for complete cohomology if and only if complete cohomology can be calculated using complete resolutions. It is also shown that for an $LH\scr{J}\text{-group}$ G the kernels in a complete resolution of a $\scr{Z}G\text{-module}$ coincide with Benson�...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2010-11, Vol.138 (11), p.3815-3820
Main Authors: DEMBEGIOTI, FOTINI, TALELLI, OLYMPIA
Format: Article
Language:English
Subjects:
Algebra
Algebraic topology
Cardinality
Coincidence
Exact sciences and technology
General mathematics
General, history and biography
Mathematics
Sciences and techniques of general use
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Summary:It is shown that the Eckmann-Shapiro Lemma holds for complete cohomology if and only if complete cohomology can be calculated using complete resolutions. It is also shown that for an $LH\scr{J}\text{-group}$ G the kernels in a complete resolution of a $\scr{Z}G\text{-module}$ coincide with Benson's class of cofibrant modules.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2010-10422-7