Generalized Stallings' decomposition theorem for pro-$p$ groups
Group Theory
2021-10-12 v1
Abstract
The celebrated Stallings' decomposition theorem states that the splitting of a finite index subgroup of a finitely generated group as an amalgamated free product or an HNN-extension over a finite group implies the same for . We generalize the pro- version of it proved by Weigel and the second author to splittings over infinite pro- groups. This generalization does not have any abstract analogs. We also prove that generalized accessibility of finitely generated pro- groups is closed for commensurability.
Keywords
Cite
@article{arxiv.2110.04601,
title = {Generalized Stallings' decomposition theorem for pro-$p$ groups},
author = {Mattheus Aguiar and Pavel Zalesski},
journal= {arXiv preprint arXiv:2110.04601},
year = {2021}
}