Classification of finite groups with toroidal or projective-planar permutability graphs

R. Rajkumar, P. Devi, Andrei Gagarin

Let $G$ be a group. The permutability graph of subgroups of $G$, denoted by $\Gamma (G)$, is a graph having all the proper subgroups of $G$ as its vertices, and two subgroups are adjacen…