On the equality between homological and cohomological dimension of groups

✍ Scribed by Emmanouil, Ioannis; Talelli, Olympia

• Book ID: 120993005
• Publisher: Walter de Gruyter GmbH & Co. KG
• Year: 2012
• Tongue: English
• Weight: 160 KB
• Volume: 2012
• Category: Article
• ISSN: 0075-4102
• DOI: 10.1515/CRELLE.2011.106

✦ Synopsis

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.