6533b859fe1ef96bd12b8075

RESEARCH PRODUCT

Characters of 𝑝’-degree with cyclotomic field of values

Pham Huu TiepGabriel Navarro

subject

Pure mathematicsFinite groupCharacter (mathematics)Degree (graph theory)Applied MathematicsGeneral MathematicsMathematicsofComputing_GENERALPrime numberCyclotomic fieldMathematics

description

If p p is a prime number and G G is a finite group, we show that G G has an irreducible complex character of degree not divisible by p p with values in the cyclotomic field Q p \mathbb {Q}_p .

https://doi.org/10.1090/s0002-9939-06-08564-9