99 citations · 258 across the 56 of their papers we have counts for
5 papers · 1 filter
The continuity of -rationality of characters and the principal block
Gunter Malle, J. Miquel Martínez, Carolina Vallejo
We study rationality properties of irreducible characters of finite groups. We show that the continuity of -rationality is a phenomenon that can be detected in the principal …
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…
Zeros of -characters
Thomas Breuer, Michael Joswig, Gunter Malle
The concept of -characters of finite groups was introduced by Zhmud' as a generalisation of transitive permutation characters. Any non-trivial -character takes a zero value o…
Decomposition numbers in the principal block and Sylow normalisers
Gunter Malle, Noelia Rizo
If G is a finite group and p is a prime number, we investigate the relationship between the p-modular decomposition numbers of characters of height zero in the principal p-block of…
Rationality of extended unipotent characters
Olivier Dudas, Gunter Malle
We determine the rationality properties of unipotent characters of finite reductive groups arising as fixed points of disconnected reductive groups under a Frobenius map. In the pr…