A new characterization of sporadic simple groups
The following result is announced without proof. If \(G\) is a finite group, \(M\) is a sporadic simple group such that \(|G|= |M|\), \(\pi_e(G)= \pi_e(M)\), then \(G \cong M\), where \(\pi_e(G)\) is the set of orders of all elements of \(G\).
scientific article; zbMATH DE number 908280