McKay bijections and character degrees

2025/07/02 by Giannelli, Eugenio · 1 citation
#FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2507.01730

Abstract

We propose a new refinement of the McKay conjecture and we prove it for symmetric groups.

Citations

• On the local representation theory of symmetric groups
• Sum of the squares of the p'-character degrees
• The McKay Conjecture on character degrees
• Sylow branching trees for symmetric groups
• Extensions of characters in type D and the inductive McKay condition, II
• Degree divisibility in Alperin-McKay correspondences
• Restriction of odd degree characters and natural correspondences
• Characters of odd degree
• New refinements of the McKay conjecture for arbitrary finite groups

Cited by

• On character degrees of cyclic and Klein four defect blocks
• Sum of the squares of the p'-character degrees
• McKay bijections and decomposition numbers

Related

• Equivariant character correspondences and inductive McKay condition for type A
• New refinements of the McKay conjecture for arbitrary finite groups
• The McKay Conjecture and central isomorphic character triples
• Characters of odd degree
• Odd Character Degrees for Sp(2n,2)