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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… Click to show full 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.
Keywords:
finitely generated;
group;
pro groups;
accessibility pro
Journal Title: Journal of Algebra
Year Published: 2019
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Journal Title: Journal of Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!