Groups with a character of large degree
Author:
Noah Snyder
Journal:
Proc. Amer. Math. Soc. 136 (2008), 1893-1903
MSC (2000):
Primary 20C15
DOI:
https://doi.org/10.1090/S0002-9939-08-09147-8
Published electronically:
February 13, 2008
MathSciNet review:
2383494
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let 
be a finite group of order 
and 
a simple ![$ \mathbb{C}[G]$](/proc/2008-136-06/S0002-9939-08-09147-8/gif-abstract0/img4.gif){kind=small}
-module of dimension 
. For some nonnegative number 
, we have 
. If 
is small, then the character of 
has unusually large degree. We fix 
and attempt to classify such groups. For 
we give a complete classification. For any other fixed 
we show that there are only finitely many examples.
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Additional Information
Noah Snyder
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
Email:
nsnyder@math.berkeley.edu
DOI:
https://doi.org/10.1090/S0002-9939-08-09147-8
Received by editor(s):
May 31, 2006
Published electronically:
February 13, 2008
Additional Notes:
This material is based upon work supported under a National Science Foundation Research Fellowship.
Communicated by:
Jonathan I. Hall
Article copyright:
© Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
