2 citations · 5 across the 11 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
On vanishing criteria that control finite group structure II
Julian Brough, Qingjun Kong
In a paper by the first author it was shown that for certain arithmetical results on conjugacy class sizes it is enough to only consider the vanishing conjugacy class sizes. In thi…
Central intersections of element centralisers
Julian Brough
In 1970 R. Schmidt gave a structural classification for CA-groups. In this paper we consider a condition upon the intersection of element centralisers which turns out to be equival…
Non-vanishing elements in finite groups
Julian Brough
Many results have been established about determining whether or not an element evaluates to zero on an irreducible character of a group. In this note it is shown that if a group $G…