Degrees of rational characters of finite groups

  • Navarro G
  • Tiep P
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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. © 2010 Elsevier Inc.

Author-supplied keywords

  • Normal p-complement
  • Rational character

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  • Gabriel Navarro

  • Pham Huu Tiep

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