曾利江, 翁小勇. 极大子群的指数皆素数的群[J]. 云南大学学报(自然科学版), 2009, 31(4): 325-328 .
引用本文: 曾利江, 翁小勇. 极大子群的指数皆素数的群[J]. 云南大学学报(自然科学版), 2009, 31(4): 325-328 .
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ZENG Li-jiang, WENG Xiao-yong. Group with prime index of each maximal subgroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(4): 325-328 .
Citation: ZENG Li-jiang, WENG Xiao-yong. Group with prime index of each maximal subgroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(4): 325-328 .
shu

极大子群的指数皆素数的群

Group with prime index of each maximal subgroups

    摘要
  • 摘要: 首先,引进了p-主因子,超可解群和强p-闭群的新概念;然后,证明了它们的一些性质;最后利用这些性质和概念证明了极大子群的指数皆素数的群必是超可解群.

     

    Abstract: Firstly,some new concepts of p-principal divisor,supersolvable group and strictly p-closed group are introduced.Then,some properties about them are proved.Finally,the group with prime index of each maximal subgroups should be supersolvable group is proved.

     

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