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| 自同构群阶为16p3(P为奇素数)的有限幂零群 | |
| 引用本文： | 杜亚慧,曹洪平 . 自同构群阶为16p3(P为奇素数)的有限幂零群[J]. 重庆师范大学学报(自然科学版), 2011, 28(2): 52-55 |
| 作者姓名： | 杜亚慧 曹洪平 |
| 作者单位： | 西南大学,数学与统计学院,重庆,400715 |
| 摘 要： | 利用有限幂零群G的自同构群Aut(G)的阶来刻画群G的构造.在刻画的过程中,本文先通过某些有限P-群Q的自同构群Aut(Q)的阶来确定了群Q的结构,然后根据幂零群的性质:G可分解为它的所有Sylpi(G)(i=1,…,n)的直积,通过分类讨论的Aut(P1)阶,从而给出了自同构群阶为16p3(p为奇素数)的有限幂零群的... |
| 关 键 词： | 有限群 自同构群 幂零群 |
Finite Nilpotent Groups with Automorphism Groups of Order 16p3(p prime) |
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| DU Ya-hui,GAO Hong-ping . Finite Nilpotent Groups with Automorphism Groups of Order 16p3(p prime) [J]. Journal of Chongqing Normal University:Natural Science Edition, 2011, 28(2): 52-55 |
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| Authors: | DU Ya-hui GAO Hong-ping |
| Affiliation: | DU Ya-hui,CAO Hong-ping (School of Mathematics and Statistics,Southwest University,Chongqing 400715,China) |
| Abstract: | This paper discusses the structures of nilpotent group G by using the oder of automorphism group G.In the process,first,We use the orders of automorphism group Q of some finite p-group Q to determine the structure of the Q group.We know nilpotent group G can decompose into the direct product of all its Sylow p-subgroups,then,by discussing the orders of automorphism group Pi,We can found out all the finite nilpotent groups when the order of automorphism group G equals 16p3 with p being odd primes. |
| Keywords: | finite group automorphism groups nilpotent groups |
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