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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 5, Pages 1102–1114 (Mi smj2480)  
This article is cited in 1 scientific paper (total in 1 paper)

Characterization of $G_2(q)$, where $2<q\equiv-1(\mathrm{mod}3)$, by order components

P. Nosratpoura, M. R. Darafshehb

a Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
b School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
Full-text PDF (364 kB) Citations (1)
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Abstract: We prove that the simple group $G_2(q)$, where $2<q\equiv-1(\mathrm{mod}3)$, is recognizable by the set of its order components. In other words, we prove that if $G$ is a finite group with $OC(G)=OC(G_2(q))$, then $G\cong G_2(q)$.
Keywords: prime graph, order component, finite simple groups.
Received: 09.11.2011
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 5, Pages 883–893
DOI: https://doi.org/10.1134/S0037446613050121
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: P. Nosratpour, M. R. Darafsheh, “Characterization of $G_2(q)$, where $2<q\equiv-1(\mathrm{mod}3)$, by order components”, Sibirsk. Mat. Zh., 54:5 (2013), 1102–1114; Siberian Math. J., 54:5 (2013), 883–893
Citation in format AMSBIB
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\pages 1102--1114
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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