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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…
math.GR2017
Groups in which each subgroup is commensurable with a normal subgroup
Carlo Casolo, Ulderico Dardano, Silvana Rinauro
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that the index of both H and N in HN is finite. The class of cn-groups contains prope…