有限群的S-c置换子群

On S-c-propermutable subgroups of finite groups

摘要: 群G的一个子群被称为S-c置换的，如果G有一个子群B满足G=N_G(H)B并且对于B的任意Sylow子群A，存在元素x∈B使得HA^x=A^xH.利用S-c置换子群研究了有限群的结构，得到了超可解群的一些新的判别准则.

Abstract: A subgroup H of a group G is said to be S-c-propermutable in G if G has a subgroup B such that G=N_G(H)B and for every Sylow subgroup A of B, there exists an element x∈B such that HA^x=A^xH. Here, S-c-propermutable subgroups were used to study the structure of finite groups and some new criteria of supersoluble groups were obtained.