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-...

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Autori principali: Bridson, M, Kropholler, P
Natura: Journal article
Pubblicazione: 2012