Geodesic
Topological groups with invariant centralizers of elements
Matematičeskie zametki, Tome 21 (1977) no. 3, pp. 297-300 
B. A. Kramarev. Topological groups with invariant centralizers of elements. Matematičeskie zametki, Tome 21 (1977) no. 3, pp. 297-300. http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a1/
@article{MZM_1977_21_3_a1,
     author = {B. A. Kramarev},
     title = {Topological groups with invariant centralizers of elements},
     journal = {Matemati\v{c}eskie zametki},
     pages = {297--300},
     year = {1977},
     volume = {21},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider topological groups in which the centralizer of any element is invariant. We prove that these and only these groups are 2-Engel groups.