Abstract:
It is proved that the groups $E_7(2)$ and $E_7(3)$ are recognized by prime graph. As corollary, it is completed the positive solution of the Mazurov's problem that every finite group whose the prime graph has at least three connected components is either recognizable by spectrum or isomorphic to $A_6$.
Keywords:finite group, simple group, spectrum, prime graph, recognition by spectrum or by prime graph.