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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 the character degree graph of solvable groups
Zeinab Akhlaghi, Carlo Casolo, Silvio Dolfi +2
Let \(G\) be a finite solvable group, and let \(Δ(G)\) denote the \emph{prime graph} built on the set of degrees of the irreducible complex characters of \(G\). A fundamental resul…