The Projective Height Zero Conjecture

2017/12/22 by Gunter Malle, Gabriel Navarro, Malle, Gunter +1
Computer Science · Engineering · Mathematics · #20C15 #20C25 #20C33 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1712.08331

openalex publication_date 2017/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a projective version of the celebrated Brauer's Height Zero Conjecture on characters of finite groups and prove it, among other cases, for p-solvable groups as well as for (some) quasi-simple groups.

Related

• On the projective height zero conjecture
• Minimal heights and defect groups with two character degrees
• Brauer's height zero conjecture for quasi-simple goups
• Characters of positive height in blocks of finite quasi-simple groups
• Height zero characters and Galois automorphisms