Algebra and Logic

, Volume 52, Issue 1, pp 1–14 | Cite as

Recognizability of groups G 2(q) by spectrum

Article

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 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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