| 具有某种扩张的有限群的Coleman自同构 |
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| 引用本文： | 赵乐乐,海进科.具有某种扩张的有限群的Coleman自同构[J].山东大学学报(理学版),2019,54(10):109-112. |
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| 作者姓名： | 赵乐乐 海进科 |
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| 作者单位： | 青岛大学数学与统计学院, 山东 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： | 设G是有限特征单群被有限交换群或有限非交换单群的扩张,证明了G的每个Coleman自同构均为内自同构。
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| 关 键 词： | 特征单群 Coleman自同构 内自同构 |
Coleman automorphisms of extensions of the finite groups by some groups |
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| ZHAO Le-le,HAI Jin-ke.Coleman automorphisms of extensions of the finite groups by some groups[J].Journal of Shandong University,2019,54(10):109-112. |
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| Authors: | ZHAO Le-le HAI Jin-ke |
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| Institution: | College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China |
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| Abstract: | Let G be an extension of a finite characteristically simple group by a finite abelian group or a finite non-abelian simple group. It is shown that under some conditions all Coleman automorphism of G is an inner automorphism. |
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| Keywords: | characteristically simple group Coleman automorphism inner automorphism |
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