2 citations · 5 across the 11 of their papers we have counts for
14 papers
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…
Characters of normalisers of d-split Levi subgroups in Sp2n(q)
Julian Brough
In this paper characters of the normaliser of d-split Levi subgroups in Sp2n(q) are parametrised with a particular focus on the Clifford theory between the Levi subgroup and its no…
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…
A criterion for the inductive Alperin weight condition
Julian Brough, Britta Späth
We give a criterion that simplifies the checking of the inductive Alperin weight condition for the remaining open cases of simple groups of Lie type. It is strongly related in form…
On the Alperin-McKay conjecture for simple groups of type
Julian Brough, Britta Späth
In this paper characters of the normaliser of -split Levi subgroups in and are parametrized with a particular focus on the Clifford theor…
On vanishing class sizes in finite groups
Mariagrazia Bianchi, Julian M. A. Brough, Rachel D. Camina +1
Let be a finite group. An element of is called a vanishing element if there exists an irreducible character of such that ; in this case, we say that t…