Characters of p′-degree and Thompson’s character degree theorem

• Nguyen Ngoc Hung ^[1]
  1. [1] University of Akron

     University of Akron

     City of Akron, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 1, 2017, págs. 117-138
• Idioma: inglés
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• Resumen

  • A classical theorem of John Thompson on character degrees asserts that if the degree of every ordinary irreducible character of a finite group G is 1 or divisible by a prime pp, then G has a normal pp-complement. We obtain a significant improvement of this result by considering the average of p′-degrees of irreducible characters. We also consider fields of character values and prove several improvements of earlier related results.