| 引用本文： |
-
班桂宁,张中健,张玉,吴建平.一系列新的LA-群及其自同构群的阶[J].广西科学,2009,16(1):1-3. [点击复制]
- BAN Gui-ning,ZHANG Zhong-jian,ZHANG Yu,WU Jian-pi.A New Series of LA-Groups and the Order of Their Automorphism Groups[J].Guangxi Sciences,2009,16(1):1-3. [点击复制]
|
|
| 摘要: |
| 利用循环群扩张理论构造出一系列新群G=〈a1,a2,a3,a4,…,an|a1pt1=a2pt2=a3pt3=a4pt4=…=anptn=1,[a1,a3]=a1ps,[ai,aj]=1〉(这里i,j=1,2,…,n,但是i=1,j=3不同时出现在[ai,aj]=1中,p为奇素数,s为整数).给出新群的部分性质及其自同构群的阶,并证明新群均为LA-群. |
| 关键词: 有限p-群 LA-群 自同构群 |
| DOI： |
| 投稿时间：2008-05-20 |
| 基金项目:国家自然科学基金项目(NO.60574052)资助 |
|
| A New Series of LA-Groups and the Order of Their Automorphism Groups |
|
BAN Gui-ning, ZHANG Zhong-jian, ZHANG Yu, WU Jian-pi
|
| (School of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| A new series of groups G by extension theory of cyclic group are constructed, where G=〈a1, a2, a3, a4, …, an|a1pt1=a2pt2=a3pt3=a4pt4=…=anptn=1,=a1ps,=1〉(i, j=1, 2, …, n.In the formula [ai,aj]=1, i=1 and j=3 don't occur at the same time, p is an odd prime, s is a positive integer).We give their properties as well as the order of their automorphism group, and prove that they are all LA-groups. |
| Key words: finite p-group LA-group automorphism group |
