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Orbits and Stabilizers for Solvable Linear Groups

Published online by Cambridge University Press:  20 November 2018

Jeffrey M. Riedl
Jeffrey M. Riedl *
Affiliation:
Department of Mathematics, University of Akron, Akron, OH 44325-4002, U.S.A. e-mail: [email protected]
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Abstract

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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.

Keywords

20B9920C1520C20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 2 , 01 June 2006 , pp. 285 - 295
Copyright
Copyright © Canadian Mathematical Society 2006

References

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