Parafree graphs of groups with cyclic edge groups
Group Theory
2024-03-04 v2
Abstract
We establish a combination theorem for parafree groups. These groups were introduced by Baumslag in the sixties. One of the current motivations for a better understanding of their structure is that they show up naturally in connection with Remeslennikov's conjecture on the profinite rigidity of free groups. In this article, we determine when the fundamental group of a finite graph of groups with cyclic edge groups is parafree.
Cite
@article{arxiv.2110.11655,
title = {Parafree graphs of groups with cyclic edge groups},
author = {Andrei Jaikin-Zapirain and Ismael Morales},
journal= {arXiv preprint arXiv:2110.11655},
year = {2024}
}
Comments
20 pages. Updated version after the useful suggestions of an anonymous referee. arXiv admin note: text overlap with arXiv:2109.12341