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Archiv der Mathematik

, Volume 83, Issue 5, pp 394–403 | Cite as

The probability of generating a finite linear group

  • Andrea Lucchini
  • Fiorenza Morini
Original Paper
  • 47 Downloads

Abstract.

We study the asymptotic behavior of the probability of generating a finite completely reducible linear group G of degree n with [β n] elements. In particular we prove that if β ≧ 3/2 and n is large enough then [β n] randomly chosen elements that generate G modulo O2(G) almost certainly generate G itself.

Mathematics Subject Classification (1991).

20G15 20P05 

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Copyright information

© Birkhäuser Verlag, Basel 2004

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di BresciaBresciaItaly

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