| 非平凡正规子群只有两种阶数的有限群 |
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| 引用本文： | 乔守红,郭大昌. 非平凡正规子群只有两种阶数的有限群[J]. 数学研究及应用, 2011, 31(4): 675-680. DOI: 10.3770/j.issn:1000-341X.2011.04.012 |
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| 作者姓名： | 乔守红 郭大昌 |
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| 作者单位： | 广东工业大学应用数学学院, 广东 广州 510006;广东工业大学应用数学学院, 广东 广州 510006 |
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| 基金项目： | 国家自然科学基金(Grant No.10871210),广东工业大学博士启动基金 (Grant No.093057). |
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| 摘 要： | In this paper, we investigate the structure of the groups whose nontrivial normal subgroups have order two. Some properties of this kind of groups are obtained.
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| 关 键 词： | finite groups normal subgroups soluble groups insoluble groups simple groups |
| 收稿时间： | 2009-11-06 |
| 修稿时间： | 2011-01-12 |
Finite Groups Whose Nontrivial Normal Subgroups Have Order Two |
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| Shou Hong QIAO and Da Chang GUO. Finite Groups Whose Nontrivial Normal Subgroups Have Order Two[J]. Journal of Mathematical Research with Applications, 2011, 31(4): 675-680. DOI: 10.3770/j.issn:1000-341X.2011.04.012 |
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| Authors: | Shou Hong QIAO and Da Chang GUO |
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| Affiliation: | School of Applied Mathematics, Guangdong University of Technology, Guangdong, 510006, P.R.China |
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| Abstract: | In this paper, we investigate the structure of the groups whose nontrivial normal subgroups have order two. Some properties of this kind of groups are obtained. |
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| Keywords: | finite groups normal subgroups soluble groups insoluble groups simple groups. |
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