McKay bijections for symmetric and alternating groups

DOI10.2140/ant.2021.15.1809OpenAlexW3209054991WikidataQ114045558 ScholiaQ114045558MaRDI QIDQ2239244

Eugenio Giannelli

Publication date: 3 November 2021

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/ant.2021.15.1809

zbMATH Keywords

symmetric groupscharacter theorySylow restriction

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Related Items (3)

Non-linear Sylow branching coefficients for symmetric groups ⋮ A lower bound on the number of generators of a defect group ⋮ Linear characters of Sylow subgroups of symmetric groups

Cites Work

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• Characters of odd degree
• Foulkes modules and decomposition numbers of the symmetric group.
• On permutation characters and Sylow \(p\)-subgroups of \(\mathfrak{S}_n\)
• Character correspondences in finite general linear, unitary and symmetric groups
• The Navarro conjecture for the alternating groups
• A canonical class of \(p'\)-degree characters of \(\mathfrak{S}_n\)
• A reduction theorem for the McKay conjecture.
• The McKay conjecture and Galois automorphisms.
• A reduction theorem for the Alperin–McKay conjecture
• McKay numbers and heights of characters.
• The fields of values of characters of degree not divisible byp
• A reduction theorem for the Galois–McKay conjecture
• Characters of odd degree of symmetric groups
• THE NAVARRO CONJECTURE FOR THE ALTERNATING GROUPS, p = 2
• Irreducible representations of odd degree

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