Hillman, Jonathan A. and Schmidt, Alexander (2008) Pro-p groups of positive deficiency. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 40. pp. 1065-1069. ISSN 0024-6093, 1469-2120
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Let Gamma be a finitely presentable pro-p group with a nontrivial, finitely generated closed normal subgroup N of infinite index. Then def (Gamma) <= 1, and if def (Gamma) = 1 then Gamma is a pro-p duality group of dimension 2, N is a free pro-p group and Gamma/N is virtually free. In particular, if the centre of Gamma is nontrivial and def (Gamma) >= 1, then def (Gamma) = 1, cd G <= 2 and Gamma is virtually a direct product F x (p), with F a finitely generated free pro-p group.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Oct 2020 09:48 |
| Last Modified: | 14 Oct 2020 09:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29947 |
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