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

Daneshkhah Ashraf; Jalilian Younes

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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

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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 = p₁^α_1….p_k^α^k 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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<description xml:lang='en' descriptionType='Abstract'><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></description>
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