Character Values of p-solvable groups on picky elements

2025/06/13 by Moretó, Alexander, Navarro, Gabriel, Rizo, Noelia · 3 citations
#20C15 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2506.11670

Abstract

A new conjecture on characters of finite groups, related to the McKay conjecture, was proposed recently by the first and third authors. In this paper, we prove it for p-solvable groups when p is odd.

Citations

• The Moretó-Rizo conjectures for symmetric groups
• Covering the set of p-elements in finite groups by Sylow p-subgroups
• Picky elements, subnormalisers, and character correspondences
• Brauer correspondent blocks with one simple module

Cited by

• The Picky Conjecture for groups of Lie type
• The Moretó-Rizo conjectures for symmetric groups
• Finite permutation groups with quasi-semiregular elements

Related

• The Picky Conjecture for groups of Lie type
• Picky elements, subnormalisers, and character correspondences
• Parameterization of irreducible characters for p-solvable groups
• A new generalization of the McKay conjecture for p-solvable groups
• Restrictions of characters in p-solvable groups