The Navarro conjecture for the alternating groups

Brunat, Olivier; Nath, Rishi

doi:10.2140/ant.2021.15.821

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The Navarro conjecture for the alternating groups

Olivier Brunat and Rishi Nath

Vol. 15 (2021), No. 4, 821–862

DOI: 10.2140/ant.2021.15.821

Abstract

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.

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Keywords

Navarro conjecture, Mckay conjecture, alternating groups

Mathematical Subject Classification 2010

Primary: 20C30

Secondary: 20C15

Milestones

Received: 26 October 2018

Revised: 10 September 2020

Accepted: 14 October 2020

Published: 29 May 2021

Authors

Olivier Brunat
Institut de mathématiques de Jussieu–Paris Rive Gauche Université Paris-Diderot Paris France

Rishi Nath
Department of Mathematics York College New York, NY United States

Vol. 15, No. 4, 2021