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计算有限p-群的自同构群阶的方法 被引量:3

Approach of Calculating the Order of Automorphism Group of p-Group
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摘要 给出计算有限p-群的自同构群的阶的一些方法和技巧,并确定出p6阶群中的第11家族到第14家族的全部群的自同构群的阶. In this paper, some skill and methods in calculating the order of automorphism group of the p- group are proposed, and the order of automorphism group of the finite p- group of which are in form the eleventh isoclinism family through the fourteenth isoclinism family, whose order is p^6 , are determined
作者 王勇 班桂宁
出处 《江西师范大学学报(自然科学版)》 CAS 北大核心 2009年第1期12-16,共5页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 广西省自然科学基金(0832084)资助项目
关键词 P-群 自同构群 计算 p- group automorphism group order calculating
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  • 3Rodney James,The groups of order p6,Mathematics of computation,1980,34(150):613-637.
  • 4Curran M.J.,Automorphisms of certain p-groups (p odd),Bull.Austral.Math.Soc.,1988,38:299-305.
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  • 7RODNEY James. The groups of orderp6(p an odd prime)[J]. Math Comp,1980,34(150):613-637.
  • 8XU Ming-yao. Introduction to Finite Group Theory[M]. Beijing:Science PublishingHouse,1999.

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