The probability of generating a finite simple group

Martin W. Liebeck*, Aner Shalev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

101 Scopus citations

Abstract

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

Original languageAmerican English
Pages (from-to)103-113
Number of pages11
JournalGeometriae Dedicata
Volume56
Issue number1
DOIs
StatePublished - Jun 1995

Keywords

  • Mathematics Subject Classifications (1991): 20P05, 20G40

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