Resumen de Recognizability of finite simple groups L4(2m) and U4(2m) by spectrum

V. D. Mazurov, G. Y. Chen

• It is proved that finite simple groups L4(2m), m ? 2, and U4(2m), m ? 2, are, up to isomorphism, recognized by spectra, i.e., sets of their element orders, in the class of finite groups. As a consequence the question on recognizability by spectrum is settled for all finite simple groups without elements of order 8.