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Some new characterizations for PGL(2, q)

dc.creatorKhosravi, B.
dc.creatorKhatami, M.
dc.creatorAkhlaghi, Z.
dc.date2011-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1377
dc.identifier10.4067/S0719-06462011000200009
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).en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1377/1229
dc.sourceCUBO, A Mathematical Journal; Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal; 151–161en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 13 Núm. 2 (2011): CUBO, A Mathematical Journal; 151–161es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectNoncommuting graphen-US
dc.subjectprime graphen-US
dc.subjectnoncyclic graphen-US
dc.subjectorder componentsen-US
dc.titleSome new characterizations for PGL(2, q)en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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