Journal of Lie Theory

no. 1
On Topologically Quasihamiltonian LC-Groups
Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 297-303
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.
DOI: 10.5802/jolt.1284
Classification: 22A05, 22A26
Keywords: Quasihamiltonian locally compact groups, permutable subgroups 
@article{JOLT_2023_33_1_a12,
     author = {W. Herfort},
     title = {On {Topologically} {Quasihamiltonian} {LC-Groups}},
     journal = {Journal of Lie Theory},
     pages = {297--303},
     year = {2023},
     volume = {33},
     number = {1},
     doi = {10.5802/jolt.1284},
     zbl = {1530.22002},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1284/}
}
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W. Herfort. On Topologically Quasihamiltonian LC-Groups. Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 297-303. doi: 10.5802/jolt.1284

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