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某一类家族p-群的自同构群的阶(英文) 被引量:5

The orders of automorphism groups of some families p-groups
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摘要 本文的主要成果是完全确定了p6阶群中第九家族(Φ9)和第十家族(Φ10)的自同构群的阶.这里p≥3,p为奇素数. The purpose of this paper is to solve the orders of automorphism groups of the groups of order p^6 from the ninth family to the tenth family in Rodney James paper.Here p denotes an odd prime and the concept of family is base on P.Halls isoclinism.
作者 王勇 张新政
出处 《广西大学学报(自然科学版)》 CAS CSCD 2004年第1期50-53,共4页 Journal of Guangxi University(Natural Science Edition)
基金 Supported by the National Science Foundation of China( 60 2 740 3 0 ) the Science Foundation ofGuangdong( 0 1 0 0 60 ) the Science and Technology Study Items of Guangdong( C3 1 80 1 )
关键词 P-群 半交换群 p-交换群 自同构群 定义关系 p-group meta-abelian group p-abelian group automorphism group definite relation
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参考文献2

  • 1Rodney James.The groups of order p6 (p an odd prime) [J].Math Comp,1980,34(150):613-637.
  • 2Xu Mingyao.Introduction to Finite Group Theory:Vol 1 & 2 [M].Beijing:Publishing House of Science,1999 (in Chinese).

同被引文献39

  • 1班桂宁,张新政,王勇.p-群的自同构群的阶[J].西南师范大学学报(自然科学版),2005,30(4):600-603. 被引量:4
  • 2班桂宁,班桂林.Curran猜想的解答[J].数学进展,1996,25(2):159-162. 被引量:3
  • 3王勇,班桂宁.若干家族p-群的自同构群的阶[J].数学进展,2006,35(2):217-222. 被引量:11
  • 4潘承洞,潘承彪.初等数论[M].2版.北京:北京大学出版社,2003.
  • 5Rodney James. The groups of order p^6[J].Mathematics of Computation, 1980,34(150) :613-637.
  • 6Curran M J. Automorphisms of certain p-groups ( p odd)[J]. Bull Austral Math Soc, 1988,38:299-305.
  • 7Ban Guining, Li Shiyu,Zhang Jinsong. The news series of LA2 groups[J]. Chinese quarterly Journal of math, 1994,9(2) :73-76.
  • 8Yu Shuxia, Ban Guining, Zhang Jingsong. Minimal p-groups with automorphism groups of order p^7[J]. Algebra Colloq, 1996,3(2) : 97-106.
  • 9RODNEY J.The Groups of Order p6[J].Mathematics of Computation,1980,34(150):613-637.
  • 10ZHANG Xing-zheng,WANG Yong,BAN Gui-ning.The Orders of Automorphism Groups of p6 Rank Groups[J].ChinQuart J of Math,2003,18(4):369-377.

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