A characterization of almost simple groups related to L3(37)
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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

A characterization of almost simple groups related to L3(37)

CZU: 512.542
MSC 2010: 20D05,20D06

Pag. 35-40

Daneshkhah Ashraf, Jalilian Younes
 
Department of Mathematics, Faculty of Science Bu-Ali Sina University Hamedan
 
 
Disponibil în IBN: 17 august 2018


Rezumat

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).

Cuvinte-cheie
Pro jectivesp eciallineargroups, almostsimplegroups, k-foldOD-characterization, primegraph

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<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); &hellip;,; deg(pk)), where jGj = p<sub>1</sub><sup>&alpha;</sup><sub>1&hellip;.</sub>p<sub>k</sub><sup> &alpha;</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>
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