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