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具有给定共轭类长的有限群（Ⅱ）
  • ISSN号：1004-8820
  • 期刊名称：《烟台大学学报：自然科学与工程版》
  • 时间：0
  • 分类：O151[理学—数学;理学—基础数学]
  • 作者机构：[1]济南大学数学科学学院,山东济南250022
  • 相关基金：国家自然科学基金资助项目（11201401）; 中国博士后基金资助项目（20100480582）; 济南大学大学生研究训练计划（SRT）项目
作者： 贾方圆[1], 刘杰[1], 周伟明[1], 邵长国[1]
关键词： 有限群, 共轭类, 共轭类长, finite groups, conjugacy classes, conjugacy class sizes
中文摘要：

文章通过无中心有限群G的共轭类长集合cs（G）来刻画有限群A4和S4,得到下面的结果：如果cs（G）={1,3,4},则G≌A4;如果cs（G）={1,3,6,8},则G≌S4.

英文摘要：

This paper characterizes the groups A 4 and S 4 by the set of conjugacy classes,and gets the following results： If cs（G） = { 1,3,4},then G ≌ A 4;If cs（G） = { 1,3,6,8},then G ≌ S 4.

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关于极大子群指数的一个注记Ⅱ
期刊信息
  • 《烟台大学学报：自然科学与工程版》
  • 中国科技核心期刊
  • 主管单位:山东省教育厅
  • 主办单位:烟台大学
  • 主编：郭善利
  • 地址：山东省烟台市莱山区清泉路30号
  • 邮编：264005
  • 邮箱：xuebao@ytu.edu.cn
  • 电话：0535-6904913
  • 国际标准刊号：ISSN：1004-8820
  • 国内统一刊号：ISSN：37-1213/N
  • 邮发代号:
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  • 被引量:2538