1 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GR2016★ 1 cited
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…
math.GR2012★ 1 cited
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…
math.GR2010★ 1 cited
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…