Groups with a character of large degree
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- Proc. Amer. Math. Soc. 136 (2008), 1893-1903 Request permission
Abstract:
Let $G$ be a finite group of order $n$ and $V$ a simple $\mathbb {C}[G]$-module 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 $e \leq 3$ we give a complete classification. For any other fixed $e$ we show that there are only finitely many examples.References
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Additional Information
- Noah Snyder
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
- MR Author ID: 667772
- Email: nsnyder@math.berkeley.edu
- 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
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1893-1903
- MSC (2000): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-08-09147-8
- MathSciNet review: 2383494