Geodesic
Finite groups with $s$-normal maximal subgroups
Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 53-55

Voir la notice de l'article provenant de la source Math-Net.Ru

Subgroup $H$ of $G$ is called $s$-normal in $G$, if $G$ has a subnormal subgroup $T$ such that $G=HT$ and $H\cap T\subseteq H_{\dots G}$. New criteria for the $p$-solvability and solvability of finite groups are obtained on the basis of this definition.
Keywords: finite group, maximal subgroup, subnormal subgroup.
Mots-clés : solvable group 
@article{PFMT_2015_2_a7,
     author = {N. S. Kosenok},
     title = {Finite groups with $s$-normal maximal subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {53--55},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_2_a7/}
}
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N. S. Kosenok. Finite groups with $s$-normal maximal subgroups. Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 53-55. http://geodesic.mathdoc.fr/item/PFMT_2015_2_a7/