Scheiderer, C. (1999) The structure of some virtually free pro-p groups. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 127 (3). pp. 695-700. ISSN 0002-9939,
Full text not available from this repository.Abstract
We prove two conjectures on pro-p groups made by Herfort, Ribes and Zalesskii. The first says that a finitely generated pro-p group which has an open free pro-p subgroup of index p is a free pro-p product H-0*(S-1 x H-1)* ...*(S-m x H-m), where the H-i are free pro-p of finite rank and the S-i are cyclic of order p. The second says that if F is a free pro-p group of finite rank and S is a finite p-group of automorphisms of F, then Fix(S) is a free factor of F. The proofs use cohomology, and in particular a "Brown theorem" for profinite groups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PROFINITE GROUPS; AUTOMORPHISMS; COHOMOLOGY; pro-p groups; virtually free groups; group cohomology; Brown theorem |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Nov 2022 14:41 |
| Last Modified: | 15 Nov 2022 14:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48502 |
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