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SM ISO690:2012 DANESHKHAH, Ashraf, JALILIAN, Younes. A characterization of almost simple groups related to L3(37). In: Quasigroups and Related Systems, 2018, vol. 26, nr. 1(39), pp. 35-40. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 26, Numărul 1(39) / 2018 / ISSN 1561-2848 | ||||||
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CZU: 512.542 | ||||||
MSC 2010: 20D05,20D06 | ||||||
Pag. 35-40 | ||||||
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Let G be a finite group, and let Г(G) be its prime graph. The degree pattern of G is denoted by D(G) = (deg(p1); …,; deg(pk)), where jGj = p1α1….pk αk and deg(pi) is the degree of vertex pi in Г (G). The group G is called k-fold OD-characterizable if there exist exactly k non-isomorphic groups H satisfying jGj = jHj and D(G) = D(H). In this paper, we characterize all _nite groups with the same order and degree pattern as almost simple groups related to the projective special linear group L3(37). |
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Cuvinte-cheie Pro jectivesp eciallineargroups, almostsimplegroups, k-foldOD-characterization, primegraph |
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<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Daneshkhah, A.</dc:creator> <dc:creator>Jalilian, Y.</dc:creator> <dc:date>2018-07-01</dc:date> <dc:description xml:lang='en'><p>Let G be a finite group, and let Г(G) be its prime graph. The degree pattern of G is denoted by D(G) = (deg(p1); …,; deg(pk)), where jGj = p<sub>1</sub><sup>α</sup><sub>1….</sub>p<sub>k</sub><sup> α</sup><sup>k</sup> and deg(pi) is the degree of vertex pi in Г (G). The group G is called k-fold OD-characterizable if there exist exactly k non-isomorphic groups H satisfying jGj = jHj and D(G) = D(H). In this paper, we characterize all _nite groups with the same order and degree pattern as almost simple groups related to the projective special linear group L3(37).</p></dc:description> <dc:source>Quasigroups and Related Systems 39 (1) 35-40</dc:source> <dc:subject>Pro jectivesp eciallineargroups</dc:subject> <dc:subject>almostsimplegroups</dc:subject> <dc:subject>k-foldOD-characterization</dc:subject> <dc:subject>primegraph</dc:subject> <dc:title>A characterization of almost simple groups related to L3(37)</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>