Geodesic
On $p$-supersolubility of one class finite groups
Problemy fiziki, matematiki i tehniki, no. 3 (2019), pp. 63-66.

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The following is proved: A finite group $G$ is $p$-supersoluble if and only if it has a normal subgroup $N$ with $p$-supersoluble quotient $G / N$ such that either $N$ is $p'$-group or $p$ divides $|N|$ and $|G : N_G(L)|$ equals to a power of $p$ for any cyclic $p$-subgroup $L$ of $N$ of order $p$ or order $4$ (if $p = 2$ and a Sylow $2$-subgroup of $N$ is non-abelian).
Keywords: finite group, $p$-nilpotent group, $p$-supersoluble group. 
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I. M. Dergacheva; E. A. Zadorozhnyuk; I. P. Shabalina. On $p$-supersolubility of one class finite groups. Problemy fiziki, matematiki i tehniki, no. 3 (2019), pp. 63-66. http://geodesic.mathdoc.fr/item/PFMT_2019_3_a9/

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