CHARACTERIZATION OF Alt(5) × Zp, WHERE p ∈ {17, 23}, BY THEIR PRODUCT ELEMENT ORDERS

We denote the integer Π g∈G o(g) by ψ ′ (G) where o(g) denotes the order of g ∈ G and G is a finite group. In [14], it was proved that some finite simple group can be uniquely determined by its product of element orders. In this paper, we characterize Alt(5)×Zp, where p ∈ {17, 23}, by their product of element orders.