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math.RT2026
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…
math.RT2026
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…
math.GR2026
Galois action on the principal block and generation of Sylow 3-subgroups
Eden Ketchum, J. Miquel Martínez, Noelia Rizo +1
In this paper, we prove one direction of a conjecture of Navarro-Rizo-Schaeffer Fry-Vallejo positing an algorithm to determine from the character table whether a finite group has $…