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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 42–51
(Mi semr226)
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Research papers
On intersections Sylov subgroups in finite groups, II
V. I. Zenkov Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
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, simple group.
Received December 10, 2009, published February 8, 2010
Citation:
V. I. Zenkov, “On intersections Sylov subgroups in finite groups, II”, Sib. Èlektron. Mat. Izv., 7 (2010), 42–51
Linking options:
https://www.mathnet.ru/eng/semr226 https://www.mathnet.ru/eng/semr/v7/p42
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