| C-正规性与有限群的超可解性 |
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| 引用本文： | 刘仕田,邵博文. C-正规性与有限群的超可解性[J]. 西南民族学院学报(自然科学版), 2007, 33(4): 707-709 |
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| 作者姓名： | 刘仕田 邵博文 |
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| 作者单位： | 四川理工学院数学系 四川自贡643000(刘仕田)，山东省汶上县康驿二中 山东汶上272507(邵博文) |
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| 摘 要： | 我们运用C-正规性质来刻画群的可解性和超可解性,并得到了一些很好的结论:设M为群G的一个极大子群,若M的任一Sylow子群在G中C-正规,则G超可解;MG,且为G之极大子群,M的每一个素数阶子群在G中C-正规及M的任何Sylow子群的Frattini子群为1,则G超可解.这些结论加强了王燕铭在文[1]中的相关结论.
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| 关 键 词： | C-正规 超可解 可解 |
| 文章编号： | 1003-2843（2007）04-0707-03 |
| 收稿时间： | 2007-03-20 |
| 修稿时间： | 2007-03-20 |
C-normality and supersolvablity of limited groups |
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| LIU Shi-tian,SHAO Bo-wen. C-normality and supersolvablity of limited groups[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(4): 707-709 |
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| Authors: | LIU Shi-tian SHAO Bo-wen |
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| Abstract: | In this paper,we research the effect of c-normality on supersolvablity and solvability,and get some good results:if M is a normal subgroup of G and every sylow subgroup of M is c-niomal in G, then G is supersolvable;let M be normal and maximal in G, if every subgroup of prime order is c-normal in G,and every Frattini subgroup of sylow subgroups in G is 1. So G is supersolvable. We strengthen the results corresponding to the paper[1] by Yanming Wang |
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| Keywords: | c-normality supersolvablity solvability solvability |
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