| n-极大子群为共轭可换的有限群 |
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| 引用本文： | 赵俊英. n-极大子群为共轭可换的有限群[J]. 纯粹数学与应用数学, 2004, 20(2): 177-181 |
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| 作者姓名： | 赵俊英 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西,临汾,041004 |
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| 基金项目： | 国家自然科学基金，山西省自然科学基金，山西省留学回国人员科研项目 |
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| 摘 要： | 群G的子群H称为G的共轭可换子群,若HHg=HgH,对任意g∈G都成立,本文考查了n-极大子群为共轭可换时对有限群构造的影响.
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| 关 键 词： | 共轭可换子群 n-极大子群 可解群 |
| 文章编号： | 1008-5513(2004)01-0177-05 |
| 修稿时间： | 2003-03-07 |
Finite groups some of whose n-maximal subgroups are conjugate-permutable |
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| ZHAO Jin-ying. Finite groups some of whose n-maximal subgroups are conjugate-permutable[J]. Pure and Applied Mathematics, 2004, 20(2): 177-181 |
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| Authors: | ZHAO Jin-ying |
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| Abstract: | A subgroup H of a group G is called conjugate-permutable in G,if it is permutable with all conjugate subgroups of H.In this paper,the influence of n-maximal subgroups being conjugate-permutable on the structure of finite groups is investigated. |
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| Keywords: | conjugate-permutable subgroups n-maximal subgroups solvable subgroup |
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