有限群的Z−条件半置换子群
Z−Conditional semipermutable subgroups of finite groups
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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.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 ofZ−conditional semipermutable of all maximal subgroups of some Sylow subgroups ofG on the supersolvability of G. Some recent results are generalized.