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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 297–300 (Mi mzm7957)  

Topological groups with invariant centralizers of elements

B. A. Kramarev

Voroshilovgrad Pedagogical Institute
Abstract: 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.
Received: 13.03.1976
English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 165–167
DOI: https://doi.org/10.1007/BF01106738
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: B. A. Kramarev, “Topological groups with invariant centralizers of elements”, Mat. Zametki, 21:3 (1977), 297–300; Math. Notes, 21:3 (1977), 165–167
Citation in format AMSBIB
\Bibitem{Kra77}
\by B.~A.~Kramarev
\paper Topological groups with invariant centralizers of elements
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 3
\pages 297--300
\mathnet{http://mi.mathnet.ru/mzm7957}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=439977}
\zmath{https://zbmath.org/?q=an:0403.22002|0348.22003}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 3
\pages 165--167
\crossref{https://doi.org/10.1007/BF01106738}
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