Scheiderer, Claus (1996) Farrell cohomology and Brown theorems for profinite groups. MANUSCRIPTA MATHEMATICA, 91 (2). pp. 247-281. ISSN 0025-2611, 1432-1785
Full text not available from this repository.Abstract
Let G be a profinite group which has an open subgroup H such that the cohomological p-dimension d := cd(p)(H) is finite (p is a fixed prime). The main result of this paper expresses the p-primary part of high degree cohomology of G in terms of the elementary abelian p-subgroups of G: From the latter one constructs a natural profinite simplicial set A G, on which G acts by conjugation. Then H-n(G, M) congruent to H-G(n)(A G, M) holds for n greater than or equal to d + r and every p-primary discrete G-module M (r := p-rank of G). If one uses profinite Farrell cohomology, which is introduced in this paper, the analogous fact holds in all degrees. These results are the profinite analogues of theorems by K.S. Brown for discrete groups.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Jun 2023 09:50 |
| Last Modified: | 22 Jun 2023 09:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51448 |
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