自同构群是循环群被交换群扩张的有限群 |
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引用本文: | 陈贵云.自同构群是循环群被交换群扩张的有限群[J].数学学报,1994,37(5). |
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作者姓名: | 陈贵云 |
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作者单位: | 西南师范大学数学系 |
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摘 要: | 设C是有限群,AutG=AB,,A是交换群且每Sylow子群的秩≤2,B是循环群,本文得出了G的结构,特别地,证明了AutG是秩≤2的交换群时,G循环。
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关 键 词: | 有限群,自同构群,群结构 |
收稿时间: | 1989-7-25 |
修稿时间: | 1993-6-15 |
Finite Groups with Atitomorphism Group an Extension of a Cyclic Group by anAbelian Group |
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Institution: | Chen cuiyun(Department of Mathematics,Southwest China Normal University 630715 ,China) |
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Abstract: | Let G be A finite group,AutG=HS,(|H|,|S|)=1,H is a Abeliangroup with all Sylow subgroups generated by at most two elements,S is a cyclic group. In thispaper we find out all such fiuite groups G. Especially we come to the conclusion;‘IF Aut G is aAbelian group generated by at most two elements,then G is cyclic.’ |
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Keywords: | finite group automornhism group group’s constructure |
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