X. Yi, M. Li, S. F. Kamornikov, “Finite groups with a system of generalized subnormal Schmidt subgroups”, Sibirsk. Mat. Zh., 2023, Volume 64, Number 1,Pages <nobr>89

This article is cited in 3 papers

Finite groups with a system of generalized subnormal Schmidt subgroups

X. Yi^a, M. Li^a, S. F. Kamornikov^b

^a Zhejiang Sci-tech University
^b Gomel State University named after Francisk Skorina

Abstract: Granted a partition $\sigma$ of the set of all primes, we study the structure of a finite group with a given system of $\sigma$-subnormal Schmidt subgroups.

Keywords: finite group, $\sigma$-subnormal subgroup, Schmidt group, $\sigma$-nilpotent group, $\sigma$-hypercenter.

UDC: 512.542

MSC: 35R30

Received: 02.04.2022
Revised: 09.06.2022
Accepted: 15.06.2022

DOI: 10.33048/smzh.2023.64.109