The first $\ell^2$-Betti number and groups acting on trees
Group Theory
2023-01-30 v1
Abstract
We generalise results of Thomas, Allcock, Thom-Petersen, and Kar-Niblo to the first -Betti number of quotients of certain groups acting on trees by subgroups with free actions on the edge sets of the graphs.
Cite
@article{arxiv.2012.13368,
title = {The first $\ell^2$-Betti number and groups acting on trees},
author = {Indira Chatterji and Sam Hughes and Peter Kropholler},
journal= {arXiv preprint arXiv:2012.13368},
year = {2023}
}
Comments
6 pages