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Mat. Zametki, 1973, Volume 14, Issue 1, Pages 127–132 (Mi mz7213)  

Finite simple groups whose Sylow 2-subgroups possess an extra-special subgroup of index 2

V. V. Kabanov, V. D. Mazurov, S. A. Syskin

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences

Abstract: Let $G$ be a finite simple group with Sylow 2-subgroup $T$. If there is an extra-special sub-group of index 2 in $T$, then $G$ is isomorphic to one of the following groups:
$$
\begin{array}{llllll} A_8,&A_9,&M_{11},&M_{12}
L_2(q),&L_3(q),&U_3(q),&G_2(q),&D_4^2(q),&PSp_4(q) \end{array}
$$
for an appropriate odd $q$.

Full text: PDF file (510 kB)

English version:
Mathematical Notes, 1973, 14:1, 629–632

Bibliographic databases:

UDC: 519.4
Received: 05.06.1972

Citation: V. V. Kabanov, V. D. Mazurov, S. A. Syskin, “Finite simple groups whose Sylow 2-subgroups possess an extra-special subgroup of index 2”, Mat. Zametki, 14:1 (1973), 127–132; Math. Notes, 14:1 (1973), 629–632

Citation in format AMSBIB
\Bibitem{KabMazSys73}
\by V.~V.~Kabanov, V.~D.~Mazurov, S.~A.~Syskin
\paper Finite simple groups whose Sylow 2-subgroups possess an extra-special subgroup of index 2
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 1
\pages 127--132
\mathnet{http://mi.mathnet.ru/mz7213}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=332952}
\zmath{https://zbmath.org/?q=an:0294.20013}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 1
\pages 629--632
\crossref{https://doi.org/10.1007/BF01095784}


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