Some New Characterizations for PGL(2, q)

Many 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...

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Autores principales:	Khosravi,B, Khatami,M, Akhlaghi,Z
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
Materias:	Noncommuting graph prime graph noncyclic graph order components
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200009
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spelling	oai:scielo:S0719-064620110002000092018-10-08Some New Characterizations for PGL(2, q)Khosravi,BKhatami,MAkhlaghi,Z Noncommuting graph prime graph noncyclic graph order components Many 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).info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.2 20112011-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200009en10.4067/S0719-06462011000200009
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Noncommuting graph prime graph noncyclic graph order components
spellingShingle	Noncommuting graph prime graph noncyclic graph order components Khosravi,B Khatami,M Akhlaghi,Z Some New Characterizations for PGL(2, q)
description	Many 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).
author	Khosravi,B Khatami,M Akhlaghi,Z
author_facet	Khosravi,B Khatami,M Akhlaghi,Z
author_sort	Khosravi,B
title	Some New Characterizations for PGL(2, q)
title_short	Some New Characterizations for PGL(2, q)
title_full	Some New Characterizations for PGL(2, q)
title_fullStr	Some New Characterizations for PGL(2, q)
title_full_unstemmed	Some New Characterizations for PGL(2, q)
title_sort	some new characterizations for pgl(2, q)
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200009
work_keys_str_mv	AT khosravib somenewcharacterizationsforpgl2q AT khatamim somenewcharacterizationsforpgl2q AT akhlaghiz somenewcharacterizationsforpgl2q
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Some New Characterizations for PGL(2, q)

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