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Algebra i logika, 2002, Volume 41, Number 2, Pages 130–142 (Mi al176)  
This article is cited in 13 scientific papers (total in 13 papers)

Recognizing Groups $G_2(3^n)$ by Their Element Orders

A. V. Vasil'ev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1229 kB) Citations (13)
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Abstract: It is proved that a finite group that is isomorphic to a simple non-Abelian group $G=G_2(3^n)$ is, up to isomorphism, recognized by a set $\omega(G)$ of its element orders, that is, $H \simeq G$ if $\omega(H)=\omega(G)$ for some finite group $H$.
Keywords: finite group, simple non-Abelian group, recognizability of groups by their element orders.
Received: 31.07.2000
English version:
Algebra and Logic, 2002, Volume 41, Issue 2, Pages 74–80
DOI: https://doi.org/10.1023/A:1015300429047
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, “Recognizing Groups $G_2(3^n)$ by Their Element Orders”, Algebra Logika, 41:2 (2002), 130–142; Algebra and Logic, 41:2 (2002), 74–80
Citation in format AMSBIB
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\paper Recognizing Groups $G_2(3^n)$ by Their Element Orders
\jour Algebra Logika
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\issue 2
\pages 130--142
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\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 2
\pages 74--80
\crossref{https://doi.org/10.1023/A:1015300429047}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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