On Some Results in the Theory of Finite Partially Soluble Groups
作者机构:Department of MathematicsFrancisk Skorina Gomel State University246019 GomelBelarus
出 版 物:《Communications in Mathematics and Statistics》 (数学与统计通讯(英文))
年 卷 期:2016年第4卷第3期
页 面:281-309页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Finite group.Subgroup lattice.G-covering subgroup system.I1-subnormal subgroup o-nilpotent group
摘 要:This article provides an overview of some recent results and ideas relatedto the study of finite groups depending on the restrictions on some systems of *** particular,we discuss some properties of the lattice of all subgroups ofa finite group related with conditions of permutability and generalized subnormality for *** paper contains more than 30 open problems which were posed,atdifferent times,by some mathematicians working in the discussed direction.