Groups acting on trees and the Eilenberg-Ganea problem for families
Group Theory
2020-10-08 v2
Abstract
We construct new examples of groups with cohomological dimension 2 and geometric dimension 3 with respect to the families of finite subgroups, virtually abelian groups of bounded rank, and the family of virtually poly-cyclic subgroups. Our main ingredients are the examples constructed by Brady-Leary-Nucinckis and Fluch-Leary, and Bass-Serre theory.
Cite
@article{arxiv.1911.03457,
title = {Groups acting on trees and the Eilenberg-Ganea problem for families},
author = {Luis Jorge Sánchez Saldaña},
journal= {arXiv preprint arXiv:1911.03457},
year = {2020}
}
Comments
Version accepted for publication in Proceedings of the AMS. Minor corrections