The Number of Solvabilizers in Finite Groups

Banafsheh Akbari, Ethan Han, Sasha Lin +1

Considering a finite group $G$, for any element $x\in G$, the solvabilizer of $x$ in $G$ is defined as $So{l}_G(x)=\{y\in G:⟨x,y⟩\text{ is solvable}\}$. In this pa…