ON LARGE ORBITS OF FINITE SOLVABLE GROUPS ON CHARACTERS

作者：Yang, Yong; Li, Jinbao^*

来源：BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2023, 108(3): 438-442.

DOI：10.1017/S000497272200168X

• group action
• irreducible characters
• orbit structure
• linear group

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].