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arXiv · 1811.02329

On accessibility for pro-$p$ groups

Gareth Wilkes
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Abstract

We define the notion of accessibility for a pro-$p$ group. We prove that finitely generated pro-$p$ groups are accessible given a bound on the size of their finite subgroups. We then construct a finitely generated inaccessible pro-$p$ group, and also a finitely generated inaccessible discrete group which is residually $p$-finite.

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Gareth Wilkes. 2018-11-06. On accessibility for pro-$p$ groups. https://arxiv.org/abs/1811.02329

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