A sufficient condition for a locally compact almost simple group to have open monolith

Abstract

We obtain a sufficient condition, given a totally disconnected, locally compact group $G$ with a topologically simple monolith $S$, to ensure that $S$ is open in $G$ and abstractly simple.

4 pages

References in corpus (1)

• Locally normal subgroups of totally disconnected groups. Part II: Compactly generated simple groups