Geodesic
On composition factors of a finite group with $OS$-seminormal Sylow subgroup
Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 88-94

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A finite non-nilpotent group whose all proper subgroups nilpotent, is called the Schmidt group. A subgroup $A$ of a group $G$ is called $OS$-seminormal, if there exists a subgroup $B$ such that $G=AB$ and $A$ commutes with all Schmidt subgroups of $B$. For a prime number $r\ge 7$ is established $r$-solvability of the group, in which the Sylow $r$-subgroup $OS$-seminormal. For $r7$, all non-Abelian compositional factors are listed such group. The solvability of the group with $OS$-seminormal Sylow $2$- and $3$-subgroups. 
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     author = {V. S. Monakhov and E. V. Zubei},
     title = {On composition factors of a finite group with $OS$-seminormal {Sylow} subgroup},
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     number = {1},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2018_26_1_a11/}
}
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V. S. Monakhov; E. V. Zubei. On composition factors of a finite group with $OS$-seminormal Sylow subgroup. Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 88-94. http://geodesic.mathdoc.fr/item/TIMB_2018_26_1_a11/