arXiv:1208.6024 Abstract | arXiv Analytics

arXiv:1208.6024 [math.GR]Abstract References Reviews Resources

Orbits of finite solvable groups on characters

Published 2012-08-29Version 1

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.

Categories: math.GR

Keywords: finite solvable groups, ordinary complex irreducible characters, weaker bound, corresponding action

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