2011•Journal für die reine und angewandte Mathematik (Crelles Journal)Requires access
On the equality between homological and cohomological dimension of groups
Ioannis Emmanouil, Olympia Talelli
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Abstract
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 .