V. N. Tyutyanov, T. V. Tihonenko, “Finite groups with <nobr>$\mathbb{P}$</nobr>-subnormal subgroups”, PFMT, 2016, Issue 1(26),Pages <nobr>68

MATHEMATICS

Finite groups with $\mathbb{P}$-subnormal subgroups

V. N. Tyutyanov^a, T. V. Tihonenko^b

^a Gomel Branch of International University «MITSO», Gomel
^b P.O. Sukhoi Gomel State Technical University

Abstract: The structure of finite group $G$, in which single subgroup is not $\mathbb{P}$-subnormal in $G$, but $\mathbb{P}$-subnormal in any proper subgroup of $G$, was established.

Keywords: finite group, composition factors, simple non-abelian group, $\mathbb{P}$-subnormal subgroup.

UDC: 512.542

Received: 11.11.2015