Profinite genus of HNN-extensions with finite associated subgroups

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Vagner Rodrigues de Bessa, A. L. P. Porto, Pavel A. Zalesskii
DOI: 10.48550/arxiv.2601.06934
Cited by: 0

Abstract

We study the profinite genus of HNN-extensions whose associated subgroups are finite. We give precise formulas for the number of isomorphism classes of HNN(G,H,K,t,f) and of its profinite completion and compute the profinite genus of such an HNN-extension HNN(G,H,K,t,f). We also list various situations when HNN(G,H,K,t,f) is determined by its profinite completion.

Fields of Study & Subjects

Geometric and Algebraic Topology Finite Group Theory Research Advanced Topology and Set Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 January 2026
Document type
Preprint