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].
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页码：438 / 442
页数：5
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