The Navarro conjecture for the alternating groups

Authors :: Rishi Nath
Olivier Brunat
Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586))
Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)
City College of New York [CUNY] (CCNY)
City University of New York [New York] (CUNY)
Source :: Algebra & Number Theory, Algebra & Number Theory, Mathematical Sciences Publishers 2020, 15 (4), pp.821-862. ⟨10.2140/ant.2021.15.821⟩
Publication Year :: 2021
Publisher :: Mathematical Sciences Publishers, 2021.
Abstract: International audience; Recently Navarro proposed a strengthening of the unsolved McKay conjecture using Galois automorphisms. We prove that the Navarro conjecture and its blockwise version hold for the alternating groups.