The probability of generating a finite simple group

Martin W. Liebeck; Aner Shalev

doi:10.1007/BF01263616

The probability of generating a finite simple group

Martin W. Liebeck^*, Aner Shalev

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

102 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 language	English
Pages (from-to)	103-113
Number of pages	11
Journal	Geometriae Dedicata
Volume	56
Issue number	1
DOIs	https://doi.org/10.1007/BF01263616
State	Published - Jun 1995

Keywords

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

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The probability of generating a finite simple group

Abstract

Keywords

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