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

• Autores: V. D. Mazurov, G. Y. Chen
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 47, Nº. 1, 2008, págs. 49-55
• Idioma: inglés
• DOI: 10.1007/s10469-008-0005-y
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• Resumen

  • 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.