On accessibility for pro-$p$ groups
Group Theory
2018-11-07 v1
Abstract
We define the notion of accessibility for a pro- group. We prove that finitely generated pro- groups are accessible given a bound on the size of their finite subgroups. We then construct a finitely generated inaccessible pro- group, and also a finitely generated inaccessible discrete group which is residually -finite.
Keywords
Cite
@article{arxiv.1811.02329,
title = {On accessibility for pro-$p$ groups},
author = {Gareth Wilkes},
journal= {arXiv preprint arXiv:1811.02329},
year = {2018}
}
Comments
16 pages