Quasirecognition by prime graph of simple group D_n(3)

• Autores: Behrooz Khosravi, Zeinab Akhlaghi, Maryam Khatami
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 469-484
• Idioma: inglés
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• Resumen

  • Let G be a nite group. The prime graph ..(G) of G is de ned as follows. The vertices of ..(G) are the primes dividing the order of G and two distinct vertices p and p�� are joined by an edge if there is an element in G of order pp��. It is proved that Dn(q), with disconnected prime graph, is quasirecognizable by their element orders.

    In this paper as the main result, we show that Dn(3), where n 2 fp; p+1g for an odd prime p > 3, is quasirecognizable by its prime graph.