The Navarro conjecture for the alternating groups

Olivier Brunat; Rishi Nath

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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Olivier Brunat. Rishi Nath. "The Navarro conjecture for the alternating groups." Algebra Number Theory 15 (4) 821 - 862, 2021. https://doi.org/10.2140/ant.2021.15.821

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Received: 26 October 2018; Revised: 10 September 2020; Accepted: 14 October 2020; Published: 2021

First available in Project Euclid: 25 June 2021

Digital Object Identifier: 10.2140/ant.2021.15.821

Subjects:

Primary: 20C30

Secondary: 20C15

Keywords: alternating groups , McKay conjecture , Navarro conjecture

Abstract

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