Geodesic
On maximal abnormal subgroups of finite groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 268-273 Cet article a éte moissonné depuis la source Math-Net.Ru

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A subgroup $m$-functor $\Theta$ is a function that maps each group $G$ to some set $\Theta(G)$ consisting of maximal subgroups of $G$ and the group $G$ itself; it is assumed that $\Theta(G^\alpha)=(\Theta(G))^\alpha$ for any automorphism $\alpha$ of $G$. We establish the structure of the functor generalized Frattini subgroup and its influence on the properties of the group.
Keywords: finite group, $p$-nilpotent group, maximal subgroup, $m$-functor. 
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M. V. Sel'kin; R. V. Borodich. On maximal abnormal subgroups of finite groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 268-273. http://geodesic.mathdoc.fr/item/TIMM_2013_19_3_a27/

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