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arXiv · 2206.01569

A pro-$p$ version of Sela's accessibility and Poincar\'e duality pro-$p$ groups

Ilaria Castellano·Pavel Zalesskii
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Abstract

We prove a pro-$p$ version of Sela's theorem stating that a finitely generated group is $k$-acylindrically accessible. This result is then used to prove that $\mathrm{PD}^n$ pro-$p$ groups admit a unique $k$-acylindrical JSJ-decomposition.

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Ilaria Castellano, Pavel Zalesskii. 2022-06-03. A pro-$p$ version of Sela's accessibility and Poincar\'e duality pro-$p$ groups. https://arxiv.org/abs/2206.01569

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