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p6阶群的自同构群的阶
引用本文:张新政,王勇,班桂宁.p6阶群的自同构群的阶[J].数学季刊,2003,18(4):369-377.
作者姓名:张新政  王勇  班桂宁
作者单位:ZHANG Xin-zheng~1,WANG Yong~(2,1),BAN Gui-ning~1 (1.Institute of Automation,Guangdong University of Technology,Guangzhou 510090,China; 2.Department of Mathematics,Guangxi University for Nationalities,Nanning 530006,China)
基金项目:SupportedbytheNationalScienceFoundationofChina( 698740 0 5 ),SupportedbytheNationalScience FoundationofChina( 198610 0 1),SupportedbytheNationalScienceFoundationofChina( 60 2 740 3 0 ),SupportedbytheNa tionalScienceFoundationofGuangdong( 0 10 0 60
摘    要:In this paper, we determine the order of automorphism group of p-groups in the third family (Φ3 ) and the fourth family (Φ4 ) in 1 ], whose order is p^6 ( p ≥ 3). Here p denotes an odd prime.

关 键 词:自同构群  p-群  meta-Abelian群  换位子群

The Orders of Automorphism Group of p6 Rank Groups
ZHANGXin-zheng WANGYong BANGui-ning.The Orders of Automorphism Group of p6 Rank Groups[J].Chinese Quarterly Journal of Mathematics,2003,18(4):369-377.
Authors:ZHANGXin-zheng WANGYong BANGui-ning
Institution:[1]InstituteofAutomation,GuangdongUniversityofTechnology,Guangzhou510090,China [2]DepartmentofMathematics,GuangxiUniversityforNationalities,Nanning530006,China
Abstract:In this paper, we determine the order of automorphism group of p-groups in the third family (Φ3) and the fourth family (Φ4) in 1], whose order is p6(p≥3). Here p denotes an odd prime.
Keywords:p-group  meta-Abelian group  automorphism group  definite relation
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