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Presentations of finite simple groups: a quantitative approach

By R. M. Guralnick, W. M. Kantor, M. Kassabov and A. Lubotzky

Abstract

There is a constant such that all nonabelian finite simple groups of rank over , with the possible exception of the Ree groups , have presentations with at most generators and relations and total length at most . As a corollary, we deduce a conjecture of Holt: there is a constant such that for every finite simple group , every prime and every irreducible -module

Topics: TA
Year: 2008
OAI identifier: oai:eprints.soton.ac.uk:155177
Provided by: e-Prints Soton
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