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 language | English |
---|---|
Pages (from-to) | 53-60 |
Number of pages | 8 |
Journal | Israel Journal of Mathematics |
Volume | 125 |
DOIs | |
State | Published - 2001 |