Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Lie Theory 33 (2023), No. 1, 297--303
Copyright Heldermann Verlag 2023

On Topologically Quasihamiltonian LC-Groups

Wolfgang Herfort
Department of Analysis and Scientific Computing, University of Technology, Vienna, Austria


A topologically quasihamiltonian group $G$ is defined by the property that any two closed subgroups $X$ and $Y$ give rise to a closed subgroup $\overline{XY}=\overline{YX}$. Y.\,N.\,Mukhin employed lattice theoretic arguments for proving that any such group with a connected component not a singleton set must be commutative. We reprove here this fact -- using only standard arguments from topological group theory.

Keywords: Quasihamiltonian locally compact groups, permutable subgroups.

MSC: 22A05, 22A26.

[ Fulltext-pdf  (97  KB)] for subscribers only.