6 papers · 1 filter
On -blocks with quaternion defect groups
Charles Eaton, Florian Eisele, Radha Kessar +2
We determine the Morita equivalence classes of -blocks with quaternion defect groups of arbitrary -power order, thereby completing the proof of Donovan's conjecture for block…
Galois automorphisms and blocks covering unipotent blocks
L. Ruhstorfer, A. A. Schaeffer Fry
In this paper we prove that a recent condition of Lyons--Martínez--Navarro--Tiep, regarding the field of values of extensions of characters in principal blocks, is satisfied for al…
The Picky Conjecture for groups of Lie type
Gunter Malle, A. A. Schaeffer Fry
Recently, Moretó and Rizo proposed a conjecture, known as the Picky Conjecture, proposing new character correspondences extending the McKay Conjecture. We prove the Picky Conjectur…
The Isaacs--Navarro Galois conjecture
L. Ruhstorfer, A. A. Schaeffer Fry
We prove the original Galois refinement of the McKay conjecture, proposed by Isaacs--Navarro in 2002, providing an important subcase of the celebrated McKay--Navarro conjecture wit…
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…
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…