Groups with a Character of Large Degree

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let G be a finite group of order n and V an irreducible representation over the complex numbers of dimension d. For some nonnegative number e, we have n=d(d+e). If e is small, then the character of V has unusually large degree. We fix e and attempt to classify such groups. For e<=3 we give a complete classification. For any other fixed e we show that there are only finitely many examples.
11 pages, 0 figures. v3 incorporates the referee's suggestions

Keywords

Group Theory, Representation Theory, 20C15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/167835

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603239
 http://arxiv.org/abs/math/0603239
 Proc. Amer. Math. Soc. 136 (2008), no. 6, 1893--1903

Collections

arXiv