Virtually free-by-cyclic groups
Group Theory
2024-06-28 v3
Abstract
We obtain a homological characterisation of virtually free-by-cyclic groups among groups that are hyperbolic and virtually compact special. As a consequence, we show that many groups known to be coherent actually possess the stronger property of being virtually free-by-cyclic. In particular, we show that all one-relator groups with torsion are virtually free-by-cyclic, solving a conjecture of Baumslag.
Keywords
Cite
@article{arxiv.2302.11500,
title = {Virtually free-by-cyclic groups},
author = {Dawid Kielak and Marco Linton},
journal= {arXiv preprint arXiv:2302.11500},
year = {2024}
}
Comments
30 pages. Incorporated the referee's comments and corrections. Final version to appear in Geometric and Functional Analysis