6533b85dfe1ef96bd12bdf36

RESEARCH PRODUCT

Degrees of rational characters of finite groups

Gabriel NavarroPham Huu Tiep

subject

Finite groupMathematics(all)Brauer's theorem on induced charactersGeneral Mathematics010102 general mathematics01 natural sciencesPrime (order theory)CombinatoricsNormal p-complementCharacter (mathematics)Rational characterNormal p-complement0103 physical sciencesDegree (angle)010307 mathematical physics0101 mathematicsClassical theoremMathematics

description

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.

yearjournalcountryeditionlanguage
2010-06-01Advances in Mathematics
10.1016/j.aim.2009.12.023http://dx.doi.org/10.1016/j.aim.2009.12.023