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RANDOM (r, s)-GENERATION OF FINITE CLASSICAL GROUPS

Published online by Cambridge University Press:  15 March 2002

MARTIN W. LIEBECK  and
ANER SHALEV
MARTIN W. LIEBECK
Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ [email protected]
ANER SHALEV
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, [email protected]
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Abstract

A proof is given that for primes r, s, not both 2, and for finite simple classical groups G of sufficiently large rank, the probability that two randomly chosen elements in G of orders r and s generate G tends to 1 as |G| → ∞.

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 2 , March 2002 , pp. 185 - 188
Copyright
© 2002 The London Mathematical Society

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