A real version of Thompson’s Theorem on Degrees

被引：0
|
作者：
Noelia Rizo
Lucia Sanus
机构：
[1] University of the Basque Country UPV/EHU,Department of Mathematics
[2] Universitat de València,Departament de Matemàtiques, Facultat de Matemàtiques
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2021年 / 200卷
关键词：
Character degrees; Real characters; Thompson’s Theorem; 20C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We extend Thompson’s theorem by taking into account real-valued irreducible characters. In particular, we prove that if G is a finite group generated by its 2-elements and there is an odd prime p dividing the order of the group G, then there is a non-linear real-valued irreducible character of G of degree coprime to p.
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页码：1297 / 1300
页数：3
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