ON LARGE ORBITS OF FINITE SOLVABLE GROUPS ON CHARACTERS

被引：0

作者：

Yang, Yong ^{[1
,2
]}

Li, Jinbao ^{[3
]}

机构：

[1] China Three Gorges Univ, Gorges Math Res Ctr 3, Yichang 443002, Hubei, Peoples R China

[2] Texas State Univ, Dept Math, San Marcos, TX 78666 USA

[3] Suqian Univ, Dept Math, Suqian, Jiangsu, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2023年 / 108卷 / 03期

关键词：

group action; irreducible characters; orbit structure; linear group;

D O I：

10.1017/S000497272200168X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if a solvable group A acts coprimely on a solvable group G, then A has a relatively 'large' orbit in its corresponding action on the set of ordinary complex irreducible characters of G. This improves an earlier result of Keller and Yang ['Orbits of finite solvable groups on characters', Israel J. Math. 199 (2014), 933-940].

引用

页码：438 / 442

页数：5

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