1 citations · 4 across the 6 of their papers we have counts for
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Non-solvable groups whose character degree graph has a cut-vertex. II
Silvio Dolfi, Emanuele Pacifici, Lucia Sanus
Let be a finite group, and let denote the set of degrees of the irreducible complex characters of . Define then the character degree graph as the (simp…
Non-solvable groups whose character degree graph has a cut-vertex. I
Silvio Dolfi, Emanuele Pacifici, Lucia Sanus +1
Let G be a finite group. Denoting by cd(G) the set of degrees of the irreducible complex characters of G, we consider the character degree graph of G: this is the (simple undirecte…
On the proportion of vanishing elements in finite groups
Yu Zeng, Dongfang Yang, Silvio Dolfi
We prove that the function , measuring the proportion of the elements of a finite group that are zeros of irreducible characters of , takes very…
Groups whose character degree graph has diameter three
Carlo Casolo, Silvio Dolfi, Emanuele Pacifici +1
Let \(G\) be a finite group, and let \(Δ(G)\) denote the \emph{prime graph} built on the set of degrees of the irreducible complex characters of \(G\). It is well known that, whene…
On the maximal number of coprime subdegrees in finite primitive permutation groups
Silvio Dolfi, Robert Guralnick, Cheryl Praeger +1
The subdegrees of a transitive permutation group are the orbit lengths of a point stabilizer. For a finite primitive permutation group which is not cyclic of prime order, the large…
A new solvability criterion for finite groups
Silvio Dolfi, Marcel Herzog, Cheryl E. Praeger
In 1968, John Thompson proved that a finite group is solvable if and only if every -generator subgroup of is solvable. In this paper, we prove that solvability of a fini…