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Algebra i logika, 2013, Volume 52, Number 1, Pages 3–21 (Mi al568)  
This article is cited in 17 scientific papers (total in 17 papers)

Recognizability of groups $G_2(q)$ by spectrum

A. V. Vasil'evab, A. M. Staroletova

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (273 kB) Citations (17)
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Abstract: Two groups are said to be isospectral if they have equal sets of element orders. It is proved that for every finite simple exceptional group $L=G_2(q)$ of Lie type, any finite group $G$ isospectral to $L$ must be isomorphic to $L$.
Keywords: finite simple group, exceptional group of Lie type, element order, spectrum of group, recognition by spectrum.
Received: 13.11.2012
Revised: 29.12.2012
English version:
Algebra and Logic, 2013, Volume 52, Issue 1, Pages 1–14
DOI: https://doi.org/10.1007/s10469-013-9214-0
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, A. M. Staroletov, “Recognizability of groups $G_2(q)$ by spectrum”, Algebra Logika, 52:1 (2013), 3–21; Algebra and Logic, 52:1 (2013), 1–14
Citation in format AMSBIB
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    • This publication is cited in the following 17 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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    References:84
    First page:40
     
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