The profinite completion of accessible groups

2022/08/27 by Vagner R. de Bessa, de Bessa, Vagner R., Anderson L. P. Porto +3 · 2 citations
Computer Science · Mathematics · #20E18 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2208.12985

openalex publication_date 2022/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• The profinite genus of the groups ℤⁿ\rtimes C_p²
• Profinite properties of Coxeter groups

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