有限群的S-半置换和C-可补子群(英文)

On s-semipermutable and c-supplemented Subgroups of Finite Groups

设G是一个有限群,许多学者对西罗子群的极大子群的性质对群G的结构的影响问题都怀有浓厚的兴趣并进行了广泛的研究.该文利用非循环西罗子群的极大子群的S-半置换和C-可补性刻画了G的结构,推广了一些已有结果.

Let G be a finite group, the question of how the properties of its maximal subgroups of Sylow subgroups influence the structure of G is of considerable interest for scholars. In this paper, we try to use the s-semipermutability and c-supplementation of maximal subgroups of non-cyclic Sylow subgroups to characterize the structure of G. Some known results are generalized.