Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (4): 369-377.

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The Orders of Automorphism Group of p6  Rank Groups 

  

  1. 1.Institute of A utomation , Guangdong  University of  Technology , Guangz hou  510090,China;2.Depart - ment of Mathematics ,Guangxi  University for Nationalities ,Nanning  530006,China

  • Received:2001-11-09 Online:2003-12-30 Published:2024-04-01
  • About author:ZHANG Xin-zheng(1955-),female ,native of Zhengzhou ,Henan ,a professor of Guangdong University of Technology ,a Doctor ,engages in large scale dynamic system;WANG Yong(1964-),male(Zhuangzu),native of Longzhou , Guangxi ,a lecturer of Guangxi University for Nationalities ,Master of Science and a Doctor candidate ,engages in finite group; BAN Gui-ning(1962-),male(Zhuangzu),native of Shanglin ,Guangxi ,a professor of Guangxi University ,Master of Science and a Doctor candidate ,engages in finite group .
  • Supported by:
    Supported by the National Science Foundation of China(69874005);Supported by the National Science  Foundation of China(19861001);Supported by the National Science Foundation of China(60274030);Supported by the Na- tional Science Foundation of Guangdong(010060);Suppored by the National Science Foundation of Guangxi(GKZ0135061)

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 .

Key words: p-group, meta-Abelian group, automorphism group, definite relation

CLC Number: