ON LARGE ORBITS OF FINITE SOLVABLE GROUPS ON CHARACTERS

Abstract

AbstractWe 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].