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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 5, Pages 993–1003 (Mi smj2252)  
This article is cited in 11 scientific papers (total in 11 papers)

Recognition by prime graph of $^2D_{2m+1}(3)$

A. Babaia, B. Khosraviab

a Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
b Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
Full-text PDF (334 kB) Citations (11)
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Abstract: As shown in [1] the simple group $^2D_{2m+1}(3)$ is recognizable by spectrum. The main result of this paper generalizes the above, stating that $^2D_{2m+1}(3)$ is recognizable by prime graph. In other words, we show that if $G$ is a finite group satisfying $\Gamma(G)=\Gamma(^2D_{2m+1}(3))$ then $G\cong^2D_{2m+1}(3)$.
Keywords: recognition, prime graph, simple group, spectrum, element order.
Received: 18.02.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 5, Pages 788–795
DOI: https://doi.org/10.1134/S003744661105003X
Bibliographic databases:
Document Type: Article
UDC: 519.542
Language: Russian
Citation: A. Babai, B. Khosravi, “Recognition by prime graph of $^2D_{2m+1}(3)$”, Sibirsk. Mat. Zh., 52:5 (2011), 993–1003; Siberian Math. J., 52:5 (2011), 788–795
Citation in format AMSBIB
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\paper Recognition by prime graph of $^2D_{2m+1}(3)$
\jour Sibirsk. Mat. Zh.
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\vol 52
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\pages 993--1003
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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