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| 自同构群阶为16pq的有限群 | |
| 引用本文： | 陈克林,孟伟,何宣丽. 自同构群阶为16pq的有限群[J]. 云南民族学院学报(自然科学版), 2014, 0(1): 44-47 |
| 作者姓名： | 陈克林 孟伟 何宣丽 |
| 作者单位： | [1]云南民族大学数学与计算机科学学院,云南昆明650031 [2]广西大学数学与信息科学学院,广西南宁530004 |
| 基金项目： | 国家自然科学基金（11361075,11226045）. |
| 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． |
| 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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| CHEN Ke-lin,MENG Wei,HE Xuan-li. Finite groups with automorphism group of order 16pq[J]. Journal of Yunnan University of The Nationalities(Natural Sciences Edition), 2014, 0(1): 44-47 | |
| Authors: | CHEN Ke-lin MENG Wei HE Xuan-li |
| Affiliation: | 1. School of Mathematics and Computer Science,Yunnan University of Nationalities, Kunming 650031, China; 2. Department of Mathematics, Guangxi University, Nanning 530004,China) |
| 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. |
| Keywords: | automorphism group cyclic group nilpotent group order |
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