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潘虹, 周强. c - 可补子群对有限群结构的影响[J]. 信阳师范学院学报(自然科学版), 2015, 28(4): 469-471. DOI: 10.3969/j.issn.1003-0972.2015.04.001
引用本文: 潘虹, 周强. c - 可补子群对有限群结构的影响[J]. 信阳师范学院学报(自然科学版), 2015, 28(4): 469-471. DOI: 10.3969/j.issn.1003-0972.2015.04.001
shu
Pan Hong , Zhou Qiang . The Influence of c-Supplemented Subgroups on the Structure of Finite Groups[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(4): 469-471. DOI: 10.3969/j.issn.1003-0972.2015.04.001
Citation: Pan Hong , Zhou Qiang . The Influence of c-Supplemented Subgroups on the Structure of Finite Groups[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(4): 469-471. DOI: 10.3969/j.issn.1003-0972.2015.04.001
shu

c - 可补子群对有限群结构的影响

The Influence of c-Supplemented Subgroups on the Structure of Finite Groups

    摘要
  • 摘要: 利用子群的 c - 可补性质, 讨论了群的幂零性, 得到了有限群成为幂零群的几个充分条件, 并推广了一些相关的结果 .

     

    Abstract: The nilpotenty of finite groups was investigated by using the properties of c-supplemented subgroups. Some sufficient conditions for the finite groups being nilpotent groups were obtained, and some previously known results are generalized

     

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