Lorenzo Bonazzi
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View article: Finite solvable groups whose Gruenberg-Kegel graph has a cut-set
Finite solvable groups whose Gruenberg-Kegel graph has a cut-set Open
Let be $\Gamma(G)$ the Gruenberg-Kegel graph of a finite group $G$. We prove that if $G$ is solvable and $\sigma$ is a cut-set for $\Gamma(G)$, then $G$ has a $\sigma$-series of length $5$ whose factors are controlled. As a consequence, we…
View article: Finite non-solvable groups whose real degrees are prime-powers
Finite non-solvable groups whose real degrees are prime-powers Open
We present a description of non-solvable groups in which all real irreducible character degrees are prime-power numbers.
View article: On the cut-set of the Gruenberg-Kegel graph of a finite solvable group
On the cut-set of the Gruenberg-Kegel graph of a finite solvable group Open
Let $Γ(G)$ be the Gruenberg-Kegel graph of a finite group $G$. We prove that if $G$ is solvable and $σ$ is a cut-set for $Γ(G)$, then $G$ has a $σ$-series of length $5$ whose factors are controlled. As a consequence, we prove that if $G$ i…
View article: Finite groups whose real classes have prime-power size
Finite groups whose real classes have prime-power size Open
We present a characterization of the finite groups in which all real classes have prime powers size.
View article: Finite non-solvable groups whose real degrees are prime-powers
Finite non-solvable groups whose real degrees are prime-powers Open
We present a description of non-solvable groups in which all real irreducible character degrees are prime-power numbers.