Geometriae Dedicata

, Volume 36, Issue 1, pp 67–87

The probability of generating a finite classical group

  • William M. Kantor
  • Alexander Lubotzky
Article

DOI: 10.1007/BF00181465

Cite this article as:
Kantor, W.M. & Lubotzky, A. Geom Dedicata (1990) 36: 67. doi:10.1007/BF00181465

Abstract

Two randomly chosen elements of a finite simple classical group G are shown to generate G with probability →1 as ‖G‖ → ∞. Extensions of this result are presented, along with applications to profinite groups.

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • William M. Kantor
    • 1
  • Alexander Lubotzky
    • 2
  1. 1.Department of MathematicsUniversity of OregonEugeneUSA
  2. 2.Department of MathematicsThe Hebrew UniversityJerusalemIsrael

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