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arxiv: 1811.02329 · v1 · pith:HGRIUKFXnew · submitted 2018-11-06 · 🧮 math.GR

On accessibility for pro-p groups

classification 🧮 math.GR
keywords pro-finitelygeneratedgroupaccessibilityfinitegroupsinaccessible
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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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