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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 511–522 (Mi smj983)  
This article is cited in 92 scientific papers (total in 92 papers)

On connection between the structure of a finite group and the properties of Its prime graph

A. V. Vasil'ev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (246 kB) Citations (92)
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Abstract: It is shown that the condition of nonadjacency of 2 and at least one odd prime in the Gruenberg–Kegel graph of a finite group $G$ under some natural additional conditions suffices to describe the structure of $G$; in particular, to prove that $G$ has a unique nonabelian composition factor. Applications of this result to the problem of recognition of finite groups by spectrum are also considered.
Keywords: finite group, finite simple group, prime graph of a finite group, spectrum of a group, recognition by spectrum.
Received: 29.11.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 396–404
DOI: https://doi.org/10.1007/s11202-005-0042-x
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, “On connection between the structure of a finite group and the properties of Its prime graph”, Sibirsk. Mat. Zh., 46:3 (2005), 511–522; Siberian Math. J., 46:3 (2005), 396–404
Citation in format AMSBIB
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\pages 511--522
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\transl
\jour Siberian Math. J.
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\pages 396--404
\crossref{https://doi.org/10.1007/s11202-005-0042-x}
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    • This publication is cited in the following 92 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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