| 至多含8个非次正规子群的有限群 |
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| 引用本文： | 冯爱芳,刘祖华.至多含8个非次正规子群的有限群[J].西南师范大学学报(自然科学版),2012,37(2):12-17. |
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| 作者姓名： | 冯爱芳 刘祖华 |
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| 作者单位： | 昆明学院数学系 |
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| 基金项目： | 云南省教育厅科学研究基金(2011C104) |
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| 摘 要： | 令N(G)为G中非次正规子群的个数.讨论了N(G)对群G的结构和性质的影响.利用非幂零的有限内-Abel群的性质和分类讨论的方法,对满足N(G)≤8的有限群进行了完全分类.
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| 关 键 词： | 有限群 非次正规子群 共轭 极大子群 |
Finite Groups Having at Most Eight Non-subnormal Subgroups |
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| FENG Ai-fang, LIU Zu-hua.Finite Groups Having at Most Eight Non-subnormal Subgroups[J].Journal of Southwest China Normal University(Natural Science),2012,37(2):12-17. |
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| Authors: | FENG Ai-fang LIU Zu-hua |
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| Institution: | Department of Mathematics, Kunming University, Kunming 650214, China |
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| Abstract: | N (G) denotes the number of non-subnormal subgroups of G.The influences of N (G) on the structure and properties of Gare discussed.By using the properties of non-nilpotent finite inner-Abel group and the method of classified discussion, the finite groups with N (G) ≤8are completely classified. |
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| Keywords: | finite group non-subnormal subgroup conjugate maximal subgroup |
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