Property (T) and Many Quotients
Group Theory
2023-08-29 v1
Abstract
We prove that, for the free algebra over a sufficiently rich operad, a large subgroup of its group of tame automorphisms has Kazhdan's property (T). We deduce that there exists a group with property (T) that maps onto large powers of alternating groups.
Keywords
Cite
@article{arxiv.2308.14529,
title = {Property (T) and Many Quotients},
author = {Laurent Bartholdi and Martin Kassabov},
journal= {arXiv preprint arXiv:2308.14529},
year = {2023}
}