
Journal of Lie Theory 33 (2023), No. 1, 297303 Copyright Heldermann Verlag 2023 On Topologically Quasihamiltonian LCGroups Wolfgang Herfort Department of Analysis and Scientific Computing, University of Technology, Vienna, Austria w.herfort@tuwien.ac.at [Abstractpdf] 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. [ Fulltextpdf (97 KB)] for subscribers only. 