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.
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.
基金
Supported by an NNSF of China(11371335)
Natural Science Youth Foundation of Jiangsu Provincial(20130119)
