Geometriae Dedicata

, Volume 56, Issue 1, pp 103-113

First online:

The probability of generating a finite simple group

  • Martin W. LiebeckAffiliated withDepartment of Mathematics, Imperial College
  • , Aner ShalevAffiliated withInstitute of Mathematics, Hebrew University

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We show that two random elements of a finite simple groupG generateG with probability → 1 as |G| → ∞. This settles a conjecture of Dixon.

Mathematics Subject Classifications (1991)

20P05 20G40