Siberian Mathematical Journal

, Volume 49, Issue 2, pp 246–256 | Cite as

Properties of element orders in covers for Ln(q) and Un(q)

  • A. V. ZavarnitsineEmail author


We show that if a finite simple group G, isomorphic to PSLn(q) or PSUn(q) where either n ≠ 4 or q is prime or even, acts on a vector space over a field of the defining characteristic of G; then the corresponding semidirect product contains an element whose order is distinct from every element order of G. We infer that the group PSLn(q), n ≠ 4 or q prime or even, is recognizable by spectrum from its covers thus giving a partial positive answer to Problem 14.60 from the Kourovka Notebook.


modular representation weight element order recognition 


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© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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