The Moretó-Rizo conjectures for symmetric groups

2025/08/07 by Madrid, Juan Martínez · 1 citation
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2508.05180

Abstract

A new type of conjectures on characters of finite groups, related to the McKay conjecture, were proposed recently by Moretó and Rizo. In this paper, we study these conjectures for symmetric groups.

Citations

• Subnormalisers of semisimple elements in finite groups of Lie type
• The Picky Conjecture for groups of Lie type
• Character Values of p-solvable groups on picky elements
• Picky elements, subnormalisers, and character correspondences
• The McKay Conjecture on character degrees
• Sylow branching coefficients and a conjecture of Malle and Navarro

Cited by

• The Picky Conjecture for groups of Lie type
• Character Values of p-solvable groups on picky elements

Related

• McKay bijections and character degrees
• The Picky Conjecture for groups of Lie type
• Character correspondences for symmetric groups and wreath products
• The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic
• Picky elements, subnormalisers, and character correspondences