The Divergence of the Special Linear Group over a Function Ring |
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| Authors: | Adrien Le Boudec |
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| Institution: | 1. Laboratoire de Mathématiques , Université Paris-Sud , Orsay , France adrien.le-boudec@math.u-psud.fr |
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| Abstract: | We compute the divergence of the finitely generated group SL n (𝒪𝒮), where 𝒮 is a finite set of valuations of a function field and 𝒪𝒮 is the corresponding ring of 𝒮-integer points. As an application, we deduce that all its asymptotic cones are without cut-points. |
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| Keywords: | Asymptotic cones Divergence Function fields Special linear group |
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