The probability of generating a finite classical group

William M. Kantor; Alexander Lubotzky

doi:10.1007/BF00181465

The probability of generating a finite classical group

William M. Kantor^*
, Alexander Lubotzky

^*Corresponding author for this work

Einstein Institute of Mathematics

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

140 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 language	English
Pages (from-to)	67-87
Number of pages	21
Journal	Geometriae Dedicata
Volume	36
Issue number	1
DOIs	https://doi.org/10.1007/BF00181465
State	Published - Oct 1990

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title = "The probability of generating a finite classical group",

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.",

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year = "1990",

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The probability of generating a finite classical group

Abstract

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