The Dehn function of SL(n;Z)

• Autores: Robert Young
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 177, Nº 3, 2013, págs. 969-1027
• Idioma: inglés
• DOI: 10.4007/annals.2013.177.3.4
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• Resumen

  • We prove that when n=5 , the Dehn function of SL(n;Z) is quadratic. The proof involves decomposing a disc in SL(n;R)/SO(n) into triangles of varying sizes. By mapping these triangles into SL(n;Z) and replacing large elementary matrices by �shortcuts,� we obtain words of a particular form, and we use combinatorial techniques to fill these loops