A note on complete resolutions
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- by Fotini Dembegioti and Olympia Talelli PDF
- Proc. Amer. Math. Soc. 138 (2010), 3815-3820 Request permission
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 𝐿𝐻𝔉
-group $G$ the kernels in a complete resolution of a $\mathbb ZG$-module coincide with Benson’s class of cofibrant modules.
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Additional Information
- Fotini Dembegioti
- Affiliation: Department of Mathematics, University of Athens, 15784 Athens, Greece
- Olympia Talelli
- Affiliation: Department of Mathematics, University of Athens, 15784 Athens, Greece
- Received by editor(s): May 20, 2009
- Received by editor(s) in revised form: January 28, 2010
- Published electronically: May 20, 2010
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3815-3820
- MSC (2010): Primary 20J99
- DOI: https://doi.org/10.1090/S0002-9939-2010-10422-7
- MathSciNet review: 2679604