Topologically simple, totally disconnected, locally compact infinite matrix groups
Group Theory
2019-12-17 v2
Abstract
Groups of almost upper triangular infinite matrices with entries indexed by integers are studied. It is shown that, when the matrices are over a finite field, these groups admit a nondiscrete totally disconnected, locally compact group topology and are topologically simple.
Cite
@article{arxiv.1911.09956,
title = {Topologically simple, totally disconnected, locally compact infinite matrix groups},
author = {Peter Groenhout and Colin D. Reid and George A. Willis},
journal= {arXiv preprint arXiv:1911.09956},
year = {2019}
}