Geodesic
Subgroups in finite quasithln groups
Sbornik. Mathematics, Tome 42 (1982) no. 3, pp. 311-330 Cet article a éte moissonné depuis la source Math-Net.Ru

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A finite group $G$ is called quasithin if $m_p(M)\leqslant2$ for any 2-local subgroup $M$ in $G$ and any odd prime $p$. As usual, $m_p(X)$ denotes the $p$-rank of the group $X$. Let $\mathscr K$ denote the set of all known (at the present time) finite non-Abelian simple groups. A group $G$ is called a $\mathscr K$-group if each of its proper non-Abelian simple sections belongs to $\mathscr K$. The current state of the classification of finite simple groups points to the importance of studying simple quasithin $\mathscr K$-groups $G$. The structure of proper subgroups in such groups are investigated in this paper. Moreover, a detailed study is made of the structure of 2-local subgroups in quasithin $\mathscr K$-groups whose 2-local 3-rank does not exceed 1. As an example of how the results can be applied, we examine the component case of a problem concerning quasithin groups of 2-local 3-rank at most 1. Bibliography: 16 titles. 
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     author = {V. I. Loginov},
     title = {Subgroups in finite quasithln groups},
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     pages = {311--330},
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     volume = {42},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1982_42_3_a1/}
}
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V. I. Loginov. Subgroups in finite quasithln groups. Sbornik. Mathematics, Tome 42 (1982) no. 3, pp. 311-330. http://geodesic.mathdoc.fr/item/SM_1982_42_3_a1/

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