Algebra and Logic

, Volume 47, Issue 5, pp 314–320 | Cite as

Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2

Article

Two groups are said to be isospectral if they share the same set of element orders. For every finite simple linear group L of dimension n over an arbitrary field of characteristic 2, we prove that any finite group G isospectral to L is isomorphic to an automorphic extension of L. An explicit formula is derived for the number of isomorphism classes of finite groups that are isospectral to L. This account is a continuation of the second author's previous paper where a similar result was established for finite simple linear groups L in a sufficiently large dimension (n > 26), and so here we confine ourselves to groups of dimension at most 26.

Keywords

finite simple group linear group order of element spectrum of group recognition by spectrum 

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Institute of Mathematics, Siberian BranchRussian Academy of SciencesNovosibirskRussia
  2. 2.Institute of Mathematics, Siberian BranchRussian Academy of SciencesNovosibirskRussia

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