A pro-$p$ version of Sela's accessibility and Poincaré duality pro-$p$ groups

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.

arXiv comment18 pages. arXiv admin note: text overlap with arXiv:2007.06867