Abstract
A classical theorem of John Thompson on character degrees states that if the degree of any complex irreducible character of a finite group G is 1 or divisible by a prime p, then G has a normal p-complement. In this paper, we consider fields of values of characters and prove some improvements of this result.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1121-1142 |
| Number of pages | 22 |
| Journal | Advances in Mathematics |
| Volume | 224 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 1 2010 |
Keywords
- Normal p-complement
- Rational character
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Navarro, G., & Tiep, P. H. (2010). Degrees of rational characters of finite groups. Advances in Mathematics, 224(3), 1121-1142. https://doi.org/10.1016/j.aim.2009.12.023