3-characterization of the O'Nan–Sims group

S. A. Syskin


Abstract: The following theorem is proved.
Theorem. Let $G$ be a finite simple group containing an elementary abelian subgroup $E$ of order $9$ with $C_G(E)=E\times F,$ where $F\simeq L_2 (9)$ and $C_G(e)=C_G(E)$ for all $e\in E^\sharp$. Then $G$ is isomorphic to the O'Nan–Sims simple group.
Bibliography: 10 titles.

UDC: 519.44

MSC: 20D08

Received: 10.03.1980 and 24.11.1980

 English version: Mathematics of the USSR-Sbornik, 1982, 42:3, 419–425

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