Maximal Compact Normal Subgroups and Pro-Lie Groups
Maximal Compact Normal Subgroups and Pro-Lie Groups
We are concerned with conditions under which a locally compact group $G$ has a maximal compact normal subgroup $K$ and whether or not $G/K$ is a Lie group. If $G$ has small compact normal subgroups $K$ such that $G/K$ is a Lie group, then $G$ is pro-Lie. If in $G$ …