Permutation complexes for profinite groups
Peter Symonds
University of Manchester, United Kingdom
Abstract
An important tool in the analysis of discrete groups of finite virtual cohomological dimension is the existence of a finite dimensional contractible CW-complex on which the group acts with finite stabilizers. We develop a purely algebraic analogue for profinite groups. This enables us to reveal the connection between finiteness conditions on the cohomology of the group and those on the normalizers of the finite p-subgroups.
Cite this article
Peter Symonds, Permutation complexes for profinite groups. Comment. Math. Helv. 82 (2007), no. 1, pp. 1–37
DOI 10.4171/CMH/83