关于弱s-半置换可补子群

On Weakly s-semipermutably Supplemented Subgroups

称群G的一个子群H在G中弱s-半置换可补的,如果存在G的一个子群T,使得G=HT且H∩T≤HssG,其中HssG是包含在H中的G的最大的s-半置换子群.利用弱s-半置换可补子群研究有限群的结构,推广了前人的一些结果.

A subgroup H of a group G is said to be weakly s-semipermutably supplemented in G if there exists a subgroup T of G such that G=HT and H∩T ≤ HssG,Where HssG is the maximal s-semipermutable subgroup of G contained in H.By investigating the influence of s-semipermutably supplemented subgroups on the structures of finite groups,some recent results are generalized.