2021 McKay bijections for symmetric and alternating groups
Eugenio Giannelli
Algebra Number Theory 15(7): 1809-1835 (2021). DOI: 10.2140/ant.2021.15.1809

Abstract

We study fields of values of the restriction to Sylow subgroups of irreducible characters of the normalizers of Sylow subgroups in symmetric and alternating groups. As an application, we show that these classes of groups admit a McKay bijection that respects fields of values and restriction to Sylow subgroups.

Citation

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Eugenio Giannelli. "McKay bijections for symmetric and alternating groups." Algebra Number Theory 15 (7) 1809 - 1835, 2021. https://doi.org/10.2140/ant.2021.15.1809

Information

Received: 20 July 2020; Revised: 10 December 2020; Accepted: 19 January 2021; Published: 2021
First available in Project Euclid: 22 November 2021

MathSciNet: MR4333665
zbMATH: 07419512
Digital Object Identifier: 10.2140/ant.2021.15.1809

Subjects:
Primary: 20C15 , 20C30

Keywords: character theory , Sylow restriction , symmetric groups

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.15 • No. 7 • 2021
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