| 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). DOI: cnki:ISSN:05831431.0.1994-05-010 |
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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： | 1989-07-25 |
| 修稿时间： | 1993-06-15 |
Finite Groups with Atitomorphism Group an Extension of a Cyclic Group by anAbelian Group |
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| Affiliation: | 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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