Resumen de Presentations of finite simple groups: a quantitative approach

Robert M. Guralnick, William M. Kantor, Martin Kassabov, Alexander Lubotzky

• 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