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Thepaper proves that there is an injective Lipschitz map $arphi:(F, d_{S})longrightarrow(H,d)$,where $F$ is the Thompson's group, $d_{S}$ is the word-metric of $F$ with respect to the finite generating set $S={x_{0}, x_{1}}$, $H$ is a subgroup of the linear group $GL_{infty}(ZZ)$ and $d$ is a metric of $H$. |
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Keywords:Thompson's group $F$; Word-metric; Lipschitz map |
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