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Algebra and Logic

, Volume 50, Issue 4, pp 291–322 | Cite as

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

  • A. V. Vasil’ev
  • E. P. Vdovin
Article

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 

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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Sobolev Institute of Mathematics, Siberian BranchRussian Academy of SciencesNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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