Frontiers of Mathematics in China

, Volume 3, Issue 2, pp 275–285 | Cite as

Recognition by spectrum for finite simple groups of Lie type

  • Maria A. Grechkoseeva
  • Wujie Shi
  • Andrey V. Vasilev
Survey Article


The goal of this article is to survey new results on the recognition problem. We focus our attention on the methods recently developed in this area. In each section, we formulate related open problems. In the last two sections, we review arithmetical characterization of spectra of finite simple groups and conclude with a list of groups for which the recognition problem was solved within the last three years.


Finite simple group spectrum prime graph recognition problem 


20D05 20D06 20D60 


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Copyright information

© Higher Education Press 2008

Authors and Affiliations

  • Maria A. Grechkoseeva
    • 1
  • Wujie Shi
    • 2
  • Andrey V. Vasilev
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.School of Mathematical SciencesSuzhou UniversitySuzhouChina

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