Geodesic
On intersections Sylov subgroups in finite groups,~II
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 42-51.

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The finite groups with simple socle $K$ are considered, where $K$ is exeptional group of Lee type over field of order $3$. For Sylov $2$-subgroup $S$ let $l_2(G)$ be a number of $S$-orbits on the set $X=\{S^g\mid S\cap S^g=1,g\in G\}$. It is proved that $l_2(G)\ge3$.
Keywords: intersections
Mots-clés : simple group. 
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V. I. Zenkov. On intersections Sylov subgroups in finite groups,~II. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 42-51. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a3/

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