徐颖吾, 程丹. 有限群的Z−条件半置换子群[J]. 云南大学学报(自然科学版), 2019, 41(2): 225-231. doi: 10.7540/j.ynu.20180345
引用本文: 徐颖吾, 程丹. 有限群的Z−条件半置换子群[J]. 云南大学学报(自然科学版), 2019, 41(2): 225-231. doi: 10.7540/j.ynu.20180345
XU Ying-wu, CHENG Dan. Z−Conditional semipermutable subgroups of finite groups[J]. Journal of Yunnan University: Natural Sciences Edition, 2019, 41(2): 225-231. DOI: 10.7540/j.ynu.20180345
Citation: XU Ying-wu, CHENG Dan. Z−Conditional semipermutable subgroups of finite groups[J]. Journal of Yunnan University: Natural Sciences Edition, 2019, 41(2): 225-231. DOI: 10.7540/j.ynu.20180345

有限群的Z−条件半置换子群

Z−Conditional semipermutable subgroups of finite groups

  • 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.

     

/

返回文章
返回