Geodesic
On finite simple groups containing strongly isolated subgroups
Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 403-409 Cet article a éte moissonné depuis la source Math-Net.Ru

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Suppose that a finite simple group $G$ containing a strongly isolated subgroup whose order is divisible by $3$ has a $2$-local subgroup whose order is also divisible by $3$. Then $G$ is isomorphic either to $\operatorname{PSL}(3,4)$ or to $\operatorname{PSL}(2,q)$ for a suitable $q$. If a finite simple group $G$ contains for some prime number $p\in\{3,5\}\cap\pi(G)$ a strongly isolated subgroup whose order is divisible by $p$, then $G$ is isomorphic to one of the groups $\operatorname{PSL}(3,4)$, $\operatorname{PSL}(2,q)$ for a suitable $q$, or $\operatorname{Sz}(2^{2m+1})$, $m>0$. A number of other results on groups containing strongly isolated subgroups are also derived in the paper. Bibliography: 13 titles. 
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N. D. Podufalov. On finite simple groups containing strongly isolated subgroups. Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 403-409. http://geodesic.mathdoc.fr/item/SM_1976_29_3_a7/

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