| 自同构群阶为16pq的有限群 |
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| 引用本文： | 陈克林,孟伟,何宣丽. 自同构群阶为16pq的有限群[J]. 云南民族大学学报(自然科学版), 2014, 0(1): 44-47 |
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| 作者姓名： | 陈克林 孟伟 何宣丽 |
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| 作者单位： | ;1.云南民族大学数学与计算机科学学院;2.广西大学数学与信息科学学院 |
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| 摘 要： | 设G是有限群,m是正整数,关于自同构方程|Aut(G)|=m的求解是一个难题.此课题的系统研究始于上世纪70年代末.目前已经取得了一系列的结果.在过去研究的基础上讨论群方程|Aut(G)|=16pq的求解问题,找出了所有满足条件的有限幂零群.
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| 关 键 词： | 自同构群 循环群 幂零群 群阶 |
Finite groups with automorphism group of order 16pq |
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| Affiliation: | ,School of Mathematics and Computer Science,Yunnan University of Nationalities,Department of Mathematics,Guangxi University |
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| Abstract: | Let G be a finite group,m a positive integer,and the solution to the equation | Aut( G) | = m is a difficult task. The earliest research appeared in the late 1970s. Afterwards,there has been a series of solutions to it by mathematicians. This paper gives all solutions to the equation | Aut( G) | = 16pq as well as all finite nilpotent groups G. |
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| Keywords: | automorphism group cyclic group nilpotent group order |
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