Orbits of finite solvable groups on characters

Thomas Michael Keller; Yong Yang

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arXiv · 1208.6024

Orbits of finite solvable groups on characters

Thomas Michael Keller·Yong Yang

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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.

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Thomas Michael Keller, Yong Yang. 2012-08-29. Orbits of finite solvable groups on characters. https://arxiv.org/abs/1208.6024

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