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The probability of generating a finite simple group |
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| Authors: | Martin W. Liebeck Aner Shalev |
| Affiliation: | (1) Department of Mathematics, Imperial College, SW7 2BZ London, England;(2) Institute of Mathematics, Hebrew University, 91904 Jerusalem, Israel |
| Abstract: | We show that two random elements of a finite simple groupG generateG with probability  1 as |G|  . This settles a conjecture of Dixon. |
| Keywords: | 20P05 20G40 |
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