Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (2): 58-63.

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Finite Nilpotent Groups with Automorphism Group of Order 16p1p2…pr

ZHONG Xiang-gui1, LI Yong-gang2, ZHANG Fu-sheng3, WUYong1   

  1. 1.College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China;
    2.College of Lijiang, Guangxi Normal University,Guilin Guangxi 541006,China;
    3.College of Law and Business,Hubei University of Economics,Wuhan Hubei 430205,China
  • Received:2013-04-19 Online:2013-06-20 Published:2018-11-26

Abstract: Let G be a finite group,｜Aut(G)｜ denote the order of automorphism group of G.In this paper,the finite nilpotent groups G with ｜Aut(G)｜=16p1p2…pr(p1,p2,…,pr are distinct odd prime numbers) are classified.The results obtained generalize some known works in the literatures.

Key words: finite group, automorphisms group, nilpotent group, grop order

CLC Number: 

  • O152.1
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