Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# Orbits and Stabilizers for Solvable Linear Groups

 Read article[PDF: 164KB]
Published:2006-06-01
Printed: Jun 2006
• Jeffrey M. Riedl
 Format: HTML LaTeX MathJax PDF PostScript

## 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

 top of page | contact us | privacy | site map |

© Canadian Mathematical Society, 2016 : https://cms.math.ca/