| 非线性不可约特征标均为实值的有限群 |
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| 作者单位： | ;1.云南民族大学数学与计算机科学学院 |
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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.
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| 关 键 词： | 实元素 实特征标 R1-群 群作用 |
Finite groups with nonlinear irreducible real-valued characters |
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| Institution: | ,School of Mathematics and Computer Science,Yunnan Minzu University |
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| Abstract: | Let G be a finite group. If every nonlinear irreducible character of G is real valued,then G is called a R1- group. This paper studies the structure and property of R1- groups. Compared with the conclusions proved by Chillag and Mann,this paper focuses on the R1- groups in the perspective of group characters. |
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| Keywords: | real element real character R1-group group action |
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