A note on complete resolutions

Dembegioti, Fotini; Talelli, Olympia

doi:10.1090/S0002-9939-2010-10422-7

A note on complete resolutions

Authors: Fotini Dembegioti and Olympia Talelli
Journal: Proc. Amer. Math. Soc. 138 (2010), 3815-3820
MSC (2010): Primary 20J99
DOI: https://doi.org/10.1090/S0002-9939-2010-10422-7
Published electronically: May 20, 2010
MathSciNet review: 2679604
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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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