The probability of generating a finite classical group

William M. Kantor*, Alexander Lubotzky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

138 Scopus citations

Abstract

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

Original languageEnglish
Pages (from-to)67-87
Number of pages21
JournalGeometriae Dedicata
Volume36
Issue number1
DOIs
StatePublished - Oct 1990

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