2026/07/18 by Eugenio Giannelli, J. Miquel Martínez, Carolina Vallejo
#math.RT
Let π=\ 2, q \ where q is an odd prime. Let G be a finite group of order divisible by a prime p ∈ π. We show that the principal p-block of G contains a nontrivial irreducible character of degree not divisible by 2 nor q and with field of values contained in the qth cyclotomic extension. This statement simultaneously provides a principal block version of results of Navarro--Tiep and Giannelli--Hung--Schaeffer Fry--Vallejo.