| 分裂扩张的稳定自同构群 |
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| 引用本文： | 樊恽,黄平安.分裂扩张的稳定自同构群[J].数学年刊A辑(中文版),2001(6). |
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| 作者姓名： | 樊恽 黄平安 |
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| 作者单位： | 武汉大学数学系 武汉430072
(樊恽)，湖南税务高等专科学校 长沙410116(黄平安) |
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| 基金项目： | 国家自然科学基金（国家973），湖南省教育厅科研基金（No．2000C016）资助的项目． |
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| 摘 要： | 本文给出有限群的分裂的Ａｂｅｌ扩张的稳定自同构群的计算．作为应用，给出了循环群的半直积的自同构群的结构，它包括了若干已知结果，如文［１］的全部结果，并解决了［１］提出的问题．
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| 关 键 词： | 分裂扩张 稳定自同构群 亚循环群 |
THE STABLE AUTOMORPHISM GROUPS OF SPLITTING EXTENSION OF FINITE GROUPS |
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| FAN Yun,HUANG Pingan.THE STABLE AUTOMORPHISM GROUPS OF SPLITTING EXTENSION OF FINITE GROUPS[J].Chinese Annals of Mathematics,2001(6). |
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| Authors: | FAN Yun HUANG Pingan |
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| Abstract: | In this paper, the stable automorphism groups of splitting extension of finite groups are given. As their applications, the authors give the structure of the automorphism groups of the semidirect product of cyclic groups. The results cover some known facts, e.g., all results in 1], and the problem presented in 1] is solved. |
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| Keywords: | Spitting extension Stable automorphism group Metacyclic group |
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