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Orbits and Stabilizers for Solvable Linear Groups |
Published:2006-06-01
Printed: Jun 2006
Printed: Jun 2006
- Jeffrey M. Riedl
Abstract
We extend a result of Noritzsch,
which describes the orbit sizes in the action of a
Frobenius group $G$ on a finite vector space $V$ under
certain conditions, to a more general class of finite
solvable groups $G$.
This result has applications in computing
irreducible character degrees of finite groups.
Another application, proved here, is a result
concerning the structure of certain groups with
few complex irreducible character degrees.
| MSC Classifications: |
20B99 - None of the above, but in this section 20C15 - Ordinary representations and characters 20C20 - Modular representations and characters |