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

Autor: Castellano, Ilaria, Zalesskii, Pavel
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 18 pages. arXiv admin note: text overlap with arXiv:2007.06867
Databáze: arXiv