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math.GR2024
The -rationality of height-zero characters
Nguyen N. Hung, A. A. Schaeffer Fry
We propose and present evidence for a conjectural global-local phenomenon concerning the -rationality of -height-zero characters. Specifically, if is a height-zero charac…
math.RT2024
On minimal positive heights for blocks of almost quasi-simple groups
Gunter Malle, A. A. Schaeffer Fry
The Eaton--Moretó conjecture extends the recently-proven Brauer height zero conjecture to blocks with non-abelian defect group, positing equality between the minimal positive heigh…
math.RT2024
A Brauer--Galois height zero conjecture
Gunter Malle, Alexander Moretó, Noelia Rizo +1
Recently, Malle and Navarro obtained a Galois strengthening of Brauer's height zero conjecture for principal -blocks when , considering a particular Galois automorphism of…