Presentations of finite simple groups: a quantitative approach

• Autores: Robert M. Guralnick, William M. Kantor, Martin Kassabov, Alexander Lubotzky
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 21, Nº 3, 2008, págs. 711-774
• Idioma: inglés
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• Resumen

  • 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