S. F. Kamornikov, V. N. Tyutyanov, “On the solubility and supersolubility of finite groups”, Sibirsk. Mat. Zh., 2023, Volume 64, Number 2,Pages <nobr>312

This article is cited in 3 papers

On the solubility and supersolubility of finite groups

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

^a Gomel State University named after Francisk Skorina
^b Gomel Branch of International Institute of Labor and Social Relations

Abstract: We give some sufficient tests for the solubility and supersolubility of a finite group $G$ provided that all maximal subgroups of some Sylow subgroups in $G$ are hereditarily $G$-permutable or $G$-permutable in $G$.

Keywords: finite group, Sylow subgroup, maximal subgroup, $G$-permutable subgroup, hereditary $G$-permutable subgroup.

UDC: 512.542

MSC: 35R30

Received: 28.08.2022
Revised: 02.12.2022
Accepted: 10.01.2023

DOI: 10.33048/smzh.2023.64.206