V. N. Tyutyanov, T. V. Tihonenko, “On finite groups with given system of Sylow subgroups”, PFMT, 2014, Issue 3(20),Pages <nobr>85

MATHEMATICS

On finite groups with given system of Sylow subgroups

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

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

Abstract: The solvability of the finite group in which any Sylow subgroup is either $\mathbb{P}$-subnormal or abnormal, was proved.

Keywords: Sylow subgroup, simple non-abelian group, $\mathbb{P}$-subnormal subgroup, abnormal subgroup.

UDC: 512.542

Received: 24.06.2014