7 citations · 10 across the 7 of their papers we have counts for
9 papers
Extensions of characters in type D and the inductive McKay condition, II
Britta Späth
We determine the action of the automorphism group Aut on the set of irreducible characters Irr for all finite quasi-simple groups . For groups of Lie type, this includ…
On semisimple classes and component groups in type
Marc Cabanes, Britta Späth
In adjoint reductive groups of type we show that for every semisimple element , its centralizer splits over its connected component, i.e., $C_H(s) = C_H(s)^\cir…
Unitriangular basic sets, Brauer characters and coprime actions
Zhicheng Feng, Britta Späth
We show that the decomposition matrix of a given group is unitriangular, whenever has a normal subgroup such that the decomposition matrix of is unitriangular, $G/N…
Extensions of characters in type D and the inductive McKay condition, I
Britta Späth
This is a contribution to the study of as an -set for a finite quasi-simple group. Focusing on the last open case of groups of…
Inductive McKay condition for finite simple groups of type C
Marc Cabanes, Britta Späth
We verify the inductive McKay condition for simple groups of Lie type C, namely finite projective symplectic groups. This contributes to the program of a complete proof of the McKa…
On Blocks with One Modular Character
Gunter Malle, Gabriel Navarro, Britta Späth
Suppose that is a Brauer -block of a finite group with a unique modular character . We prove that is liftable to an ordinary character of (which moreover is $…
Invariant blocks under coprime actions
Gunter Malle, Gabriel Navarro, Britta Späth
If a finite group acts coprimely as automorphisms on a finite group , then the -invariant Brauer -blocks of are exactly those that contain -invariant irreducibl…
The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups
Shigeo Koshitani, Britta Spaeth
We verify the inductive blockwise Alperin weight (BAW) and the inductive Alperin-McKay (AM) conditions introduced by the second author for blocks of finite quasisimple groups with…
Equivariant character correspondences and inductive McKay condition for type A
Marc Cabanes, Britta Spaeth
As a step to establish the McKay conjecture on character degrees of finite groups, we verify the inductive McKay condition introduced by Isaacs-Malle-Navarro for simple groups of L…