A pro-$p$ version of Sela's accessibility and Poincar\'e duality pro-$p$ groups
Group Theory
2023-02-14 v1
Abstract
We prove a pro- version of Sela's theorem stating that a finitely generated group is -acylindrically accessible. This result is then used to prove that pro- groups admit a unique -acylindrical JSJ-decomposition.
Keywords
Cite
@article{arxiv.2206.01569,
title = {A pro-$p$ version of Sela's accessibility and Poincar\'e duality pro-$p$ groups},
author = {Ilaria Castellano and Pavel Zalesskii},
journal= {arXiv preprint arXiv:2206.01569},
year = {2023}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:2007.06867