Some new permutability properties of hypercentrally embedded subgroups of finite groups
Some new permutability properties of hypercentrally embedded subgroups of finite groups
Abstract Hypercentrally embedded subgroups of finite groups can be characterized in terms of permutability as those subgroups which permute with all pronormal subgroups of the group. Despite that, in general, hypercentrally embedded subgroups do not permute with the intersection of pronormal subgroups, in this paper we prove that they permute …