1. CMB 2006 (vol 49 pp. 285)
|Orbits and Stabilizers for Solvable Linear Groups |
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.
Categories:20B99, 20C15, 20C20