【摘要】 给出了Z-条件半置换子群的概念,利用其性质研究它们对有限群结构的影响,给出了某些Sylow子群的极大子群满足Z-条件半置换时,群G的超可解性,并推广了一些已知结论.更多还原

【Abstract】 The definition Z-conditional semipermutable subgroup is presented, based on which its influence on the structure of finite groups is studied. The purpose here is to study the influence of Z-conditional semipermutable of all maximal subgroups of some Sylow subgroups of G on the supersolvability of G. Some recent results are generalized.更多还原