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用非交换图刻画L3（q）（英文）
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]苏州大学数学科学学院,江苏苏州215006, [2]重庆大学数学与物理学院,重庆400044
  • 相关基金：Supported by the NNSF of China （10571128） and the SRFDP of China （20060285002）.
作者： 王玲丽[1], 张良才[1,2], 邵长国[1]
关键词： 非交换图, 有限群, 中心化子, non-commuting graph, finite group, centralizer
中文摘要：

令G是一个有限群,其非交换图▽（G）如下定义：顶点集合▽（G）是G／Z（G）,当两条边x与y的换位子不等于单位元时x与y相连.我们证明了如果G是一个有限群,且▽（G）≌▽（M）,其中M=L3（q）,q=pn,p是素数n∈N,则G≌M.

英文摘要：

Let G be a non-abelian group and associate a non-commuting graph ▽（G） with G as follows：the vertex set of ▽（G） is G／Z（G） with two vertices x and y joined by an edge whenever the commutator of x and y is not the identity.We prove that if G is a finite group with ▽（G）≌▽（M）,where M=L3（q）（q=pn,n∈N,p is a prime）,then G≌M.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:36