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The profinite completion of accessible groups

Authors :
de Bessa, Vagner R.
Porto, Anderson L. P.
Zalesskii, Pavel A.
Publication Year :
2022

Abstract

We introduce a class $\A$ 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 $\A$ almost detects its JSJ-decomposition and compute the genus of free products of groups in $\A$.

Subjects

Subjects :
Mathematics - Group Theory
20E18

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2208.12985
Document Type :
Working Paper