| 阶为24的有限群的分类 |
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| 引用本文： | 李志秀. 阶为24的有限群的分类[J]. 晋中学院学报, 2011, 28(3): 11-13 |
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| 作者姓名： | 李志秀 |
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| 作者单位： | 晋中学院,数学学院,山西晋中,030600 |
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| 摘 要： | 对于任意正整数n,决定n阶群的所有互不同构的类型的关键是解决同构问题.本文运用群的循环扩张理论,通过换位子计算,对阶为24的有限群G做了完全分类.
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| 关 键 词： | Sylow子群 群扩张 换位子计算 |
A Classification of Finite Groups of Order 24 |
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| LI Zhi-xiu. A Classification of Finite Groups of Order 24[J]. Journal of Jinzhong University, 2011, 28(3): 11-13 |
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| Authors: | LI Zhi-xiu |
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| Affiliation: | LI Zhi-xiu(School of Mathematics,Jinzhong University,Jinzhong 030600,China) |
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| Abstract: | One of the basic problems of the finite group theory is to construct all of the groups of a given finite order.The main difficulty of classifying such groups is how to solve the isomorphism problem.Using the extension theory and calculating the commuters,the paper gave the classification of the groups of order 24. |
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| Keywords: | Sylow subgroups group extension Calculating the commuters |
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