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Algebra i logika, 2006, Volume 45, Number 4, Pages 390–408 (Mi al151)  
This article is cited in 62 scientific papers (total in 62 papers)

Recognition of Finite Groups by the Prime Graph

A. V. Zavarnitsin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (251 kB) Citations (62)
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Abstract: We obtain the first example of an infinite series of finite simple groups that are uniquely determined by their prime graph in the class of all finite groups. We also show that there exist almost simple groups for which the number of finite groups with the same prime graph is equal to 2.
Keywords: prime graph, finite group, modular representations, recognition.
Received: 16.05.2006
English version:
Algebra and Logic, 2006, Volume 45, Issue 4, Pages 220–231
DOI: https://doi.org/10.1007/s10469-006-0020-9
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Zavarnitsin, “Recognition of Finite Groups by the Prime Graph”, Algebra Logika, 45:4 (2006), 390–408; Algebra and Logic, 45:4 (2006), 220–231
Citation in format AMSBIB
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\by A.~V.~Zavarnitsin
\paper Recognition of Finite Groups by the Prime Graph
\jour Algebra Logika
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\vol 45
\issue 4
\pages 390--408
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\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 4
\pages 220--231
\crossref{https://doi.org/10.1007/s10469-006-0020-9}
\elib{https://elibrary.ru/item.asp?id=13515778}
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    • This publication is cited in the following 62 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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    Abstract page:953
    Full-text PDF :330
    References:92
    First page:4
     
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