具有弱-可补的准素子群的有限群

Finite groups with weakly -supplemented primary subgroups

G的子群H在G中弱s-可补,如果G有子群T使得HT=G且H∩T≤HG,其中HG是包含在H中G的极大s-半置换子群.利用准素子群的F-补充及弱s-可补性质刻画群的结构,推广和改进一些已知结论.

Let H be a subgroup of a group G,H is weakly s-supplemented in G if G has a subgroup T such that HT=G and H∩T≤ HsG ,where Hsc is the maximal s-semipermutable subgroup of G contained in H. Based on the F-supplemented subgroups and weakly s -semipermutablity of primary subgroups. The structure of finite groups was characterized, some known results were unified and generalized.