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非线性不可约特征标均为实值的有限群 被引量：1

Finite groups with nonlinear irreducible real-valued characters
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摘要 如果有限群G的任意非线性不可约特征标均为实值特征标,则称G为R1-群.考察了R1-群的性质和结构,与Chillag和Mann关于R1-群的结论相比,主要从特征标角度讨论了R1-群的结构. Let G be a finite group. If every nonlinear irreducible character of G is real valued, then G is called a - group. This paper studies the structure and property of R_1 - groups. Compared with the conclusions proved Chillag and Mann, this paper focuses on the R_1 - groups in the perspective of group characters.
作者 李亚利
机构地区 云南民族大学数学与计算机科学学院
出处 《云南民族大学学报（自然科学版）》 CAS 2016年第1期38-41,共4页 Journal of Yunnan Minzu University:Natural Sciences Edition
基金 国家自然科学基金(11361076) 云南省自然科学基金(2013FD032)
关键词 实元素 实特征标 R1-群 群作用 real element real character R_1 -group group action
分类号 O152 [理学—基础数学]
  • 相关文献

参考文献10

  • 1HUPPERT B. Endlichegruppeni [ M ]. Berlin : Springer - Verlag, 1967.
  • 2ISAACS I M. Character theory of finite groups[ M]. NewYork: Academic Press, 1976.
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  • 8李亚利.不可约p-Brauer特征标均为实值的有限群[J].云南民族大学学报（自然科学版）,2015,24(5):373-376. 被引量：1
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二级参考文献18

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云南民族大学学报（自然科学版）
2016年 第1期

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