| Sylow子群全是m-正规的有限群 |
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| 引用本文： | 宋迎春. Sylow子群全是m-正规的有限群[J]. 湖南人文科技学院学报, 2002, 0(2): 5-6 |
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| 作者姓名： | 宋迎春 |
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| 作者单位： | 娄底师范高等专科学校数学系,湖南,娄底,417000 |
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| 摘 要： | 有限群G的子群是m -正规时 ,得到如下结论 :1.G的子群全都是m正规的 ,且至少有一个子群在G中正规 ,则G可解。2 .G的子群全都是m正规的 ,且没有子群在G中正规 ,则G不可解。
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| 关 键 词： | m-正规子群 极大子群 Sylow子群 可解子群 |
| 文章编号： | 1008-1666(2002)02-0005-02 |
| 修稿时间： | 2002-01-14 |
On m-Normal Subgroups in Finite Groups |
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| SONG Ying chun. On m-Normal Subgroups in Finite Groups[J]. Journal of Hunan Institute of Humanities,Science and Technology, 2002, 0(2): 5-6 |
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| Authors: | SONG Ying chun |
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| Abstract: | with the concept of m-normal subgroups,this paper gives some result about m-subgroups :1.When all sylow subgroups about G is m-normal subgroups,and there is a sylow subgroups which is normal subgroup, finite group G is a solvable group .2. When all sylow subgroups about G is m-normal subgroups, there is not any sylow subgroups which is normal subgroup, G is not a solvable group. |
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| Keywords: | m- normal subgroups maximal subgroups Sylow subgroups solvable subgroups nilpotent subgroups |
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