S. F. Kamornikov, V. N. Tyutyanov, “The Kegel–Wielandt $\sigma$-problem for the partition $\sigma= \{\{2\},\{3\},\{2,3\}'\}$”, PFMT, 2023, Issue 4(57),Pages 64

MATHEMATICS

The Kegel–Wielandt $\sigma$-problem for the partition $\sigma= \{\{2\},\{3\},\{2,3\}'\}$

S. F. Kamornikov^a, V. N. Tyutyanov^b

^a Francisk Skorina Gomel State University
^b Gomel Branch of International University «МIТSО», Gomel

Abstract: For the partition $\sigma= \{\{2\},\{3\},\{2,3\}'\}$ of the set of all primes, the Kegel–Wielandt $\sigma$-problem is solved.

Keywords: finite group, Hall subgroup, $\sigma$-subnormal subgroup, Kegel–Wielandt $\sigma$-problem.

UDC: 512.542

Received: 15.08.2023

DOI: 10.54341/20778708_2023_4_57_64