Some New Characterizations for PGL(2, q)

dc.creatorKhosravi,B
dc.creatorKhatami,M
dc.creatorAkhlaghi,Z
dc.date2011-06-01
dc.date.accessioned2017-03-07T16:38:54Z
dc.date.available2017-03-07T16:38:54Z
dc.identifierhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200009
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/405177
dc.descriptionMany authors introduced some characterizations for finite groups. In this paper as the main result we prove that the finite group PGL(2, q) is uniquely determined by its noncommuting graph. Also we prove that PGL(2, q) is characterizable by its noncyclic graph. Throughout the proof of these results we prove that PGL(2, q) is uniquely determined by its order components and using this fact we give positive answer to a conjecture of Thompson and another conjecture of Shi and Bi for the group PGL(2, q).
dc.formattext/html
dc.languageen
dc.publisherUniversidad de La Frontera. Departamento de Matemática y Estadística
dc.publisherUniversidade Federal de Pernambuco. Departamento de Matemática
dc.sourceCubo (Temuco) v.13 n.2 2011
dc.subjectNoncommuting graph
dc.subjectprime graph
dc.subjectnoncyclic graph
dc.subjectorder components
dc.titleSome New Characterizations for PGL(2, q)
dc.typeArtículos de revistas


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