On the equality between homological and cohomological dimension of groups

In this paper, we study criteria for the equality between the homological and the cohomological dimension of a group. In particular, we obtain criteria for the freeness of finitely generated groups of homological dimension one. To that end, we examine two types of conditions under which flat modules...

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Bibliographic Details
Published in:Journal für die reine und angewandte Mathematik 2012-03, Vol.2012 (664), p.55-70
Main Authors: Emmanouil, Ioannis, Talelli, Olympia
Format: Article
Language:English
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Summary:In this paper, we study criteria for the equality between the homological and the cohomological dimension of a group. In particular, we obtain criteria for the freeness of finitely generated groups of homological dimension one. To that end, we examine two types of conditions under which flat modules are projective over a ring R.
ISSN:0075-4102
1435-5345
DOI:10.1515/CRELLE.2011.106