Quasi-isometrically embedded subgroups of Thompson's group F

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The goal of this paper is to construct quasi-isometrically embedded subgroups of Thompson's group $F$ which are isomorphic to $\fz^n$ for all $n$. A result estimating the norm of an element of Thompson's group is found. As a corollary, Thompson's group is seen to be an example of a finitely presented group which has an infinite-dimensional asymptotic cone.
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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/76628

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802095
 http://arxiv.org/abs/math/9802095

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arXiv