Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A note on complete resolutions

Author(s): Fotini Dembegioti; Olympia Talelli
Journal: Proc. Amer. Math. Soc. 138 (2010), 3815-3820.
MSC (2010): Primary 20J99
Posted: May 20, 2010
MathSciNet review: 2679604
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: 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 ${\scriptstyle\bf {LH}}\mathfrak{F}$ -group the kernels in a complete resolution of a $\mathbb{Z}G$ -module coincide with Benson's class of cofibrant modules.

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