Siberian Mathematical Journal

, Volume 52, Issue 1, pp 30–40 | Cite as

On finite groups isospectral to simple linear and unitary groups

  • A. V. Vasil’ev
  • M. A. Grechkoseeva
  • A. M. Staroletov


Let L be a simple linear or unitary group of dimension larger than 3 over a finite field of characteristic p. We deal with the class of finite groups isospectral to L. It is known that a group of this class has a unique nonabelian composition factor. We prove that if LU 4(2), U 5(2) then this factor is isomorphic to either L or a group of Lie type over a field of characteristic different from p.


finite group spectrum of a group simple group linear group unitary group composition factor 


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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  • A. V. Vasil’ev
    • 1
  • M. A. Grechkoseeva
    • 1
  • A. M. Staroletov
    • 1
  1. 1.Sobolev Institute of Mathematics and Novosibirsk State UniversityNovosibirskRussia

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