Finite groups with some restriction on the vanishing set

Sesuai Y. Madanha, Bernardo G. Rodrigues

Let $x$ be an element of a finite group $G$ and denote the order of $x$ by $\mathrm{ord}(x)$. We consider a finite group $G$ such that $ \gcd(\mathrm{ord}(x),\mathrm{ord}…