On the average degree of some irreducible characters of a finite group

被引：2

作者：

Akhlaghi, Zeinab ^{[1
,2
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, Tehran 15914, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 08期

关键词：

average character degree; character degree sum; finite group;

D O I：

10.1002/mana.202100440

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and N be a non-trivial normal subgroup of G, such that the average degree of irreducible characters in Irr(G|N) is less than or equal to 16/5. Then, we prove that N is solvable. Also, we prove the solvability of G, by assuming that the average degree of irreducible characters in Irr(G|N) is strictly less than 16/5. We show that the bounds are sharp.

引用

页码：3149 / 3152

页数：4

共 4 条

[1] THE AVERAGE DEGREE OF AN IRREDUCIBLE CHARACTER OF A FINITE GROUP [J].