2 citations · 2 across the 7 of their papers we have counts for
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math.GR2017
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…
math.GR2017
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…
math.GR2017
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…