The profinite completion of accessible groups
Group Theory
2022-08-30 v1
Abstract
We introduce a class of finitely generated residually finite accessible groups with some natural restriction on one-ended vertex groups in their JSJ-decompositions. We prove that the profinite completion of groups in almost detects its JSJ-decomposition and compute the genus of free products of groups in .
Cite
@article{arxiv.2208.12985,
title = {The profinite completion of accessible groups},
author = {Vagner R. de Bessa and Anderson L. P. Porto and Pavel A. Zalesskii},
journal= {arXiv preprint arXiv:2208.12985},
year = {2022}
}