Groups with a character of large degree-Reference-Cited by-同舟云学术

Groups with a character of large degree

Published:2008-02-13 Issue:6 Volume:136 Page:1893-1903
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Snyder Noah

Abstract

Let G G be a finite group of order n n and V V a simple C [ G ] \mathbb {C}[G] -module of dimension d d . For some nonnegative number e e , we have n = d ( d + e ) n=d(d+e) . If e e is small, then the character of V V has unusually large degree. We fix e e and attempt to classify such groups. For e ≤ 3 e \leq 3 we give a complete classification. For any other fixed e e we show that there are only finitely many examples.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2008-136-06/S0002-9939-08-09147-8/S0002-9939-08-09147-8.pdf

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