Subgroups of free pro-p-products-Reference-Cited by-同舟云学术

Subgroups of free pro-p-products

Published:1987-03 Issue:2 Volume:101 Page:197-206
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Herfort Wolfgang,Ribes Luis

Abstract

If F is a free profinite group, it is well known that the closed subgroups of F need not be free profinite; however, if p is a prime number, every closed subgroup of a free pro-p-group is free pio-p (cf. [2, 8, 7]). In this paper we show that there is an analogous contrast regarding the closed subgroups of free products in the category of profinite groups, and the closed subgroups of free products in the category of pro-p-groups, at least for (topologically) finitely generated subgroups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. A subgroup theorem for free products of pro-finite groups

2. Cohomologie Galoisienne

3. Combinatorial group theory for pro-p groups

4. A Kurosh subgroup theorem for free pro- products of pro--groups;Gildenhuys;Trans. Amer. Math. Soc.,1973

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inertia of retracts in Demushkin groups;Journal of Group Theory;2022-11-19

2. Free profinite products of prosoluble groups;Journal of Algebra;2019-07

3. Virtually free pro-p products;Israel Journal of Mathematics;2017-07-11

4. Profinite Graphs and Groups;Ergebnisse der Mathematik und ihrer Grenzgebiete 34;2017

5. The Virtual Cohomological Dimension of Profinite Groups;Profinite Graphs and Groups;2017