Orbits of finite solvable groups on characters
Group Theory
2012-08-31 v1
Abstract
We prove that if a solvable group A acts coprimely on a solvable group G, then A has a "large" orbit in its corresponding action on the set of ordinary complex irreducible characters of G. This extends (at the cost of a weaker bound) a 2005 result of A. Moreto who obtained such a bound in case that A is a p-group.
Cite
@article{arxiv.1208.6024,
title = {Orbits of finite solvable groups on characters},
author = {Thomas Michael Keller and Yong Yang},
journal= {arXiv preprint arXiv:1208.6024},
year = {2012}
}