Random groups do not have Property (T) at densities below 1/4
Group Theory
2022-06-30 v1
Abstract
We prove that random groups in the Gromov density model at density d <1/4 do not have Property (T), answering a conjecture of Przytycki. We also prove similar results in the k-angular model of random groups.
Keywords
Cite
@article{arxiv.2206.14616,
title = {Random groups do not have Property (T) at densities below 1/4},
author = {Calum J Ashcroft},
journal= {arXiv preprint arXiv:2206.14616},
year = {2022}
}
Comments
18 pages