a note on minimal and maximal subgroups of finite groups

A normal subgroup h of g is said to be hypercyclically embedded in g if every chief factor of g below h is cyclic. a subgroup h of a finite group g is called weakly s-semipermutable in g if there exist a normal subgroup k of g such that hk is s-permutable in g and h ∩ k is s-semipermutable in g. in this paper, we investigate the influence of weakly s-semipermutability some minimal and maximal subgroups on the structre of finite groups.