1 citations · 1 across the 9 of their papers we have counts for
14 papers
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 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…
Towards the inductive McKay--Navarro Condition for groups of Lie type
Lucas Ruhstorfer, A. A. Schaeffer Fry, Britta Späth +1
We gather tools for proving the inductive McKay--Navarro (or Galois--McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of qua…
Equivariant chararacter bijections and the Alperin-McKay conjecture
Julian Brough, Lucas Ruhstorfer
In this paper we consider the inductive Alperin--McKay condition for isolated blocks of groups of Lie type and . This finishes the verification of the inductive condition fo…
The McKay--Navarro conjecture for the prime 2
L. Ruhstorfer, A. A. Schaeffer Fry
We complete the proof of the McKay--Navarro conjecture (also known as the Galois--McKay conjecture) for the prime 2, by completing the proof of the inductive McKay--Navarro conditi…
The Alperin-McKay conjecture for the prime 2
Lucas Ruhstorfer
In this paper we consider the inductive Alperin-McKay condition for quasi-isolated 2-blocks of exceptional groups of Lie type. Thereby, we complete the proof of the Alperin-McKay c…
On the Alperin-McKay conjecture for 2-blocks of maximal defect
Julian Brough, Lucas Ruhstorfer
In this paper, we show that the Alperin-McKay conjecture holds for 2-blocks of maximal defect. A major step in the proof is the verification of the inductive Alperin-McKay conditio…
The inductive McKay-Navarro conditions for the prime 2 and some groups of Lie type
L. Ruhstorfer, A. A. Schaeffer Fry
For a prime , the McKay conjecture suggests a bijection between the set of irreducible characters of a finite group with -degree and the corresponding set for the norm…
Quasi-isolated blocks and the Alperin-McKay conjecture
Lucas Ruhstorfer
The Alperin-McKay conjecture is a longstanding open conjecture in the representation theory of finite groups. Späth showed that the Alperin-McKay conjecture holds if the so-called…
Derived equivalences and equivariant Jordan decomposition
Lucas Ruhstorfer
The Bonnafé-Rouquier equivalence can be seen as a modular analogue of Lusztig's Jordan decomposition for groups of Lie type. In this paper, we show that this equivalence can be lif…
Jordan Decomposition for the Alperin-McKay Conjecture
Lucas Ruhstorfer
Späth showed that the Alperin-McKay conjecture in the representation theory of finite groups holds if the so-called inductive Alperin-McKay condition holds for all finite simple gr…
Fake Galois Actions
Niamh Farrell, Lucas Ruhstorfer
We prove that for all non-abelian finite simple groups , there exists a fake mth Galois action on IBr with respect to Aut, where is the univers…
On the Bonnafé--Dat--Rouquier Morita equivalence
Lucas Ruhstorfer
We prove that the cohomology group of a Deligne-Lusztig variety defines a Morita equivalence in a case which is not covered by the argument by Bonnafé, Dat and Rouquier, specifical…
The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic
Lucas Ruhstorfer
In this paper we verify Navarro's refinement of the McKay conjecture for quasi-simple groups of Lie type in their defining characteristic. Navarro's refinement takes into account t…