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Algebra i logika, 2011, Volume 50, Number 4, Pages 425–470 (Mi al495)  
This article is cited in 76 scientific papers (total in 76 papers)

Cocliques of maximal size in the prime graph of a finite simple group

A. V. Vasil'evab, E. P. Vdovinab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (410 kB) Citations (76)
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Abstract: A prime graph of a finite group is defined in the following way: the set of vertices of the graph is the set of prime divisors of the order of the group, and two distinct vertices $r$ and $s$ are joined by an edge if there is an element of order $rs$ in the group. We describe all cocliques of maximal size for finite simple groups.
Keywords: finite simple group, group of Lie type, prime graph, coclique.
Received: 01.10.2010
Revised: 17.03.2011
English version:
Algebra and Logic, 2011, Volume 50, Issue 4, Pages 291–322
DOI: https://doi.org/10.1007/s10469-011-9143-8
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, E. P. Vdovin, “Cocliques of maximal size in the prime graph of a finite simple group”, Algebra Logika, 50:4 (2011), 425–470; Algebra and Logic, 50:4 (2011), 291–322
Citation in format AMSBIB
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    • This publication is cited in the following 76 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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