Random generation of finite simple groups by p-regular or p-singular elements

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Let p be a fixed prime and let G be a finite simple group. It is shown that two randomly chosen elements of G of orders prime to p generate G with probability tending to 1 as |G| → ∞. This answers a question of Kantor. Some related results are also established.

Original languageEnglish
Pages (from-to)53-60
Number of pages8
JournalIsrael Journal of Mathematics
Volume125
DOIs
StatePublished - 2001

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