中文摘要：

子群H在群G中称为M-次正规,若存在G的次正规子群K,使得G=HK,且对于H的任意极大子群H1,都有H1K为G的真子群。利用给定阶子群的M-次正规性研究有限群的结构,得到了p-幂零群、幂零群以及p-超可解群等饱和群系的一些新的结果。

英文摘要：

A subgroup H of G is called M-subnormal in G, if there exists a subnormal subgroup K of G such that G = HK and H1 K is a proper subgroup of G for every maximal subgroup H1 of H. The structure of finite groups is investigated and some new results for p- nilpotent groups, nilpotent groups and p- super- solvable groups are obtained by using M-subnormal subgroups with given order.