The Power Graph of a Torsion-Free Group of Nilpotency Class $2$

Samir Zahirović

The directed power graph $\mathcal{G}(\mathbf{G})$ of a group $\mathbf{G}$ is the simple digraph with vertex set $G$ in which $x\to y$ if $y$ is a power of $x$, the power grap…