Geodesic
On centralizers of involutions in simple groups
Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 535-546

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In this paper we prove the following Theorem. Let $G$ be a inite simple group$,$ $t$ an involution of $G$ and $C(t)$ the centralizer of $t$ in $G$. If $L(C(t))\simeq\langle t\rangle\times PSL(2,q)$ where $q3,$ then a Sylow $2$-subgroup of $G$ is an elementary group of order $8$. Bibliography: 14 titles. 
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     author = {V. D. Mazurov},
     title = {On centralizers of involutions in simple groups},
     journal = {Sbornik. Mathematics},
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     number = {4},
     year = {1974},
     language = {en},
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V. D. Mazurov. On centralizers of involutions in simple groups. Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 535-546. http://geodesic.mathdoc.fr/item/SM_1974_22_4_a3/