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Matematicheskie Zametki, 1977, Volume 22, Issue 1, Pages 153–159 (Mi mzm8036)  
Groups with a centralizer of sixth order

A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Scientific Center of the AS of USSR
Full-text PDF (521 kB) (1)
Abstract: Let $G$ be a finite fusion-simple group with a self-centralizing subgroup $A$ of sixth order. It is proved that if the centralizer of the involution from $A$ is an unsolvable subgroup of $G$ of an odd index, then $G$ is isomorphic with the Janko group $J_1$.
Received: 05.03.1976
English version:
Mathematical Notes, 1977, Volume 22, Issue 1, Pages 574–577
DOI: https://doi.org/10.1007/BF01147704
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: A. A. Makhnev, “Groups with a centralizer of sixth order”, Mat. Zametki, 22:1 (1977), 153–159; Math. Notes, 22:1 (1977), 574–577
Citation in format AMSBIB
\Bibitem{Mak77}
\by A.~A.~Makhnev
\paper Groups with a centralizer of sixth order
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 1
\pages 153--159
\mathnet{http://mi.mathnet.ru/mzm8036}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=444766}
\zmath{https://zbmath.org/?q=an:0372.20006}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 1
\pages 574--577
\crossref{https://doi.org/10.1007/BF01147704}
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    		Математические заметки Mathematical Notes
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