Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665168 | Advances in Mathematics | 2016 | 40 Pages |
Abstract
Suppose R is a profinite ring. We construct a large class of profinite groups L′HRˆF, including all soluble profinite groups and profinite groups of finite cohomological dimension over R . We show that, if G∈L′HRˆF is of type FP∞FP∞ over R, then there is some n such that HRn(G,R〚G〛)≠0, and deduce that torsion-free soluble pro-p groups of type FP∞FP∞ over ZpZp have finite rank, thus answering the torsion-free case of a conjecture of Kropholler.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ged Corob Cook,