S. F. Kamornikov, V. N. Tyutyanov, O. L. Shemetkova, “On <nobr>$\sigma$</nobr>-subnormality of Sylow subgroups in a finite group”, Sibirsk. Mat. Zh., 2021, Volume 62, Number 2,Pages <nobr>286

On $\sigma$-subnormality of Sylow subgroups in a finite group

S. F. Kamornikov^a, V. N. Tyutyanov^b, O. L. Shemetkova^c

^a F. Skorina Gomel State University, Gomel, Belarus
^b MITSO International University, Gomel, Belarus
^c Plekhanov Russian University of Economics, Moscow, Russia

Abstract: Given an arbitrary partition $\sigma$ of the set of primes, we give some criteria for the $\sigma$-subnormality of a Sylow subgroup of a finite group.

Keywords: finite group, partition of the set of primes, $\sigma$-subnormal subgroup, Sylow subgroup.

UDC: 512.542

MSC: 35R30

Received: 08.08.2020
Revised: 08.08.2020
Accepted: 18.11.2020

DOI: 10.33048/smzh.2021.62.204