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ν(G)=p+1的有限p群的分类 被引量:3

The classification of finite p-group of ν(G)=p+1
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摘要 通过有限群的非正规子群的共轭类数来确定有限群的结构一直是群论研究中的重要问题,给出ν(G)=p+1的有限p群的分类,其中ν(G)表示有限群G的非正规子群的共轭类数. Determining the structure of finite group by the number of conjugate classes of the non-normal subgroups of finite group has always been a concern of the groupist.The paper gives the classification of finite p-group of ν(G)=p+1,andν(G)represents the conjugate classes of informal subgroups of finite groups.
作者 张慧玲 ZHANG Huiling(Taiyuan University, faiyuan 030001, China)
机构地区 太原学院
出处 《华中师范大学学报(自然科学版)》 CAS 北大核心 2018年第2期160-163,共4页 Journal of Central China Normal University:Natural Sciences
基金 国家自然科学基金项目(71561008)
关键词 有限P群 非正规子群 共轭类数 finite p-group non-normal subgroups conjugate class
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