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Orders of Automorphism Groups of Some p-Groups

SU Hong ZHAO Zhen-hua XIAO Zhi-xiang QIU Dun-yuan

西南交通大学学报(英文版)2008,Vol.16Issue(2):199-204,6.
西南交通大学学报(英文版)2008,Vol.16Issue(2):199-204,6.

Orders of Automorphism Groups of Some p-Groups

Orders of Automorphism Groups of Some p-Groups

SU Hong 1ZHAO Zhen-hua 1XIAO Zhi-xiang 2QIU Dun-yuan2

作者信息

  • 1. School of Mathematics, Chongqing Institute of Technology, Chongqing 400050, China
  • 2. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
  • 折叠

摘要

Abstract

The orders of automorphism groups of the groups of order p6 in the twelve family φ12 are produced, where p is an odd prime. Every group is analysed by utilizing the properties of metabelian, regularity and p-commutativity of finite p-groups, and the structure of the generators of its automorphism groups is obtained. Then the orders of automorphism groups are determined through some properties of equivalence in number theory.

关键词

Finite group/ Order/ Definite relation/ Automorphism group

Key words

Finite group/ Order/ Definite relation/ Automorphism group

分类

交通工程

引用本文复制引用

SU Hong,ZHAO Zhen-hua,XIAO Zhi-xiang,QIU Dun-yuan..Orders of Automorphism Groups of Some p-Groups[J].西南交通大学学报(英文版),2008,16(2):199-204,6.

基金项目

The Science Research Foundation of Chongqing Municipal Education Commission of China (KJ050611) (KJ050611)

西南交通大学学报(英文版)

2662-4745

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