✦ LIBER ✦

The probability of generating a finite classical group

✍ Scribed by William M. Kantor; Alexander Lubotzky

Publisher: Springer
Year: 1990
Tongue: English
Weight: 954 KB
Volume: 36
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181465

No coin nor oath required. For personal study only.

✦ Synopsis

Two randomly chosen elements of a finite simple classical group G are shown to generate G with probability --* 1 as IGI ~ co. Extensions of this result are presented, along with applications to profinite groups.

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