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On the average character degree of finite groups

On the average character degree of finite groups We prove that if the average of the degrees of the irreducible characters of a finite group $G$ is less than $\frac {16}{5}$ , then $G$ is solvable. This solves a conjecture of I. M. Isaacs, M. Loukaki and the first author. We discuss related questions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

On the average character degree of finite groups

On the average character degree of finite groups

Bulletin of the London Mathematical Society , Volume 46 (3) – Jun 1, 2014

Abstract

We prove that if the average of the degrees of the irreducible characters of a finite group $G$ is less than $\frac {16}{5}$ , then $G$ is solvable. This solves a conjecture of I. M. Isaacs, M. Loukaki and the first author. We discuss related questions.

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References (15)

Publisher
Oxford University Press
Copyright
© 2014 London Mathematical Society
Subject
PAPERS
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bdt107
Publisher site
See Article on Publisher Site

Abstract

We prove that if the average of the degrees of the irreducible characters of a finite group $G$ is less than $\frac {16}{5}$ , then $G$ is solvable. This solves a conjecture of I. M. Isaacs, M. Loukaki and the first author. We discuss related questions.

Journal

Bulletin of the London Mathematical SocietyOxford University Press

Published: Jun 1, 2014

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