Lower bound for the number of conjugacy classes and irreducible characters

被引：1
|
作者：
Gao, Yinling [1 ]
Yang, Yong [1 ,2 ]
机构：
[1] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R China
[2] Texas State Univ, Dept Math, San Marcos, TX 78666 USA
来源：
MONATSHEFTE FUR MATHEMATIK | 2024年 / 203卷 / 02期
关键词：
Finite groups; Odd-degree representations; Characters; Coprime action; ORBITS;
D O I：
10.1007/s00605-023-01860-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a lower bound for the class number of the semidirect product of an odd-order group acting coprimely on an abelian p-group. For a prime p and a Sylow p-subgroup P of a finite group G, we also obtain an explicit lower bound for the number of p'-degree irreducible characters of G in terms of |P/P'|.
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页码：341 / 355
页数：15
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