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 theirsections.In particular,we discuss some properties of the la...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 theirsections.In particular,we discuss some properties of the lattice of all subgroups ofa finite group related with conditions of permutability and generalized subnormality for subgroups.The paper contains more than 30 open problems which were posed,atdifferent times,by some mathematicians working in the discussed direction.展开更多
文摘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 theirsections.In particular,we discuss some properties of the lattice of all subgroups ofa finite group related with conditions of permutability and generalized subnormality for subgroups.The paper contains more than 30 open problems which were posed,atdifferent times,by some mathematicians working in the discussed direction.
