Totally disconnected locally compact groups with a linear open subgroup
Group Theory
2019-01-17 v1
Abstract
We describe the global structure of totally disconnected locally compact groups having a linear open compact subgroup. Among the applications, we show that if a non-discrete, compactly generated, topologically simple, totally disconnected locally compact group is locally linear, then it is a simple algebraic group over a local field.
Cite
@article{arxiv.1409.8184,
title = {Totally disconnected locally compact groups with a linear open subgroup},
author = {Pierre-Emmanuel Caprace and Thierry Stulemeijer},
journal= {arXiv preprint arXiv:1409.8184},
year = {2019}
}