| Coleman自同构群的投射极限 |
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| 引用本文： | 海进科,吕瑞珍.Coleman自同构群的投射极限[J].数学学报,1936,63(3):281-288. |
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| 作者姓名： | 海进科 吕瑞珍 |
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| 作者单位： | 青岛大学数学与统计学院 青岛 266071 |
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| 基金项目： | 国家自然科学基金资助项目（11871292） |
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| 摘 要： | 在这篇注记中，利用群的投射极限性质给出了有限可解群的Coleman自同构群的一个具体构造.作为应用，证明了二面体群的Coleman外自同构群或者是1或者是一个初等阿贝尔2-群.
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Projective Limits of Coleman Automorphism Groups |
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| Jin Ke HAI,Rui Zhen LV.Projective Limits of Coleman Automorphism Groups[J].Acta Mathematica Sinica,1936,63(3):281-288. |
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| Authors: | Jin Ke HAI Rui Zhen LV |
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| Institution: | College of Mathematics and Statistics, Qingdao University, Qingdao 266071, P. R. China |
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| Abstract: | In this note, a structure of the Coleman automorphism group of a finite solvable group is given by using the projection limit property of the group. As an application, it is proved that the Coleman outer automorphism group of a dihedral group is either 1 or an elementary abelian 2-group. |
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| Keywords: | projection limit Coleman automorphism normalizer problem |
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