Asymptotic Dimension of Graphs of Groups and One Relator Groups
Group Theory
2023-11-15 v2
Abstract
We prove a new inequality for the asymptotic dimension of HNN-extensions. We deduce that the asymptotic dimension of every finitely generated one relator group is at most two, confirming a conjecture of A.Dranishnikov. As further corollaries we calculate the exact asymptotic dimension of Right-angled Artin groups and we give a new upper bound for the asymptotic dimension of fundamental groups of graphs of groups.
Keywords
Cite
@article{arxiv.1905.07925,
title = {Asymptotic Dimension of Graphs of Groups and One Relator Groups},
author = {Panagiotis Tselekidis},
journal= {arXiv preprint arXiv:1905.07925},
year = {2023}
}
Comments
31 pages, 7 figures