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
-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.