A lower bound for the number of odd-degree representations of a finite group

被引：0

作者：

Nguyen Ngoc Hung

Thomas Michael Keller

Yong Yang

机构：

[1] The University of Akron,Department of Mathematics

[2] Texas State University,Department of Mathematics

来源：

Mathematische Zeitschrift | 2021年 / 298卷

关键词：

Finite groups; Odd-degree representations; Characters; Coprime action; Primary 20C15; 20D10; 20D05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite group and P a Sylow 2-subgroup of G. We obtain both asymptotic and explicit bounds for the number of odd-degree irreducible complex representations of G in terms of the size of the abelianization of P. To do so, we, on one hand, make use of the recent proof of the McKay conjecture for the prime 2 by Malle and Späth, and, on the other hand, prove lower bounds for the class number of the semidirect product of an odd-order group acting on an abelian 2-group.

引用

页码：1559 / 1572

页数：13

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