Dimension of elementary amenable groups

The paper has three parts. It is conjectured that for every elementary amenable group G and every non-zero commutative ring k, the homological dimension of G over k is equal to the Hirsch length of G whenever G has no k-torsion. In Part I this is proved for several classes, including the abelian-by-...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Bridson, M, Kropholler, P
Format: Journal article
Veröffentlicht: 2012