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The intersection power graph of a finite groupGGis the graph whose vertex set isGG, and two distinct verticesxxandyyare adjacent if either one ofxxandyyis the identity element ofGG, or⟨x⟩∩⟨y⟩\langle x\rangle \cap \langle y\rangleis non-trivial. In this paper, we completely classify all finite groups whose intersection power graphs are toroidal and projective-planar.

Finite groups whose intersection power graphs are toroidal and projective-planar