2007.53: Permutation complexes for profinite groups
2007.53: Peter Symonds (2007) Permutation complexes for profinite groups. Commentarii Mathematici Helvetici, 82 (1). pp. 1-37. ISSN 0010-2571
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Official URL: http://www.ems-ph.org/journals/show_issue.php?issn=0010-2571&vol=82&iss=1
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Profinite group, cohomology, permutation module |
| Subjects: | MSC 2000 > 20 Group theory and generalizations |
| MIMS number: | 2007.53 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 30 March 2007 |
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