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Thompson's group $F$ and Linear group $GL_{infty}(ZZ)$
Wu Yan,Chen Xiaoman *
School of Mathematical Sciences, Fudan University
*Correspondence author
#Submitted by
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Funding: NNSFC(No.10731020), Shanghai NSF (No.09ZR1402000)
Opened online: 1 March 2011
Accepted by: none
Citation: Wu Yan,Chen Xiaoman.Thompson's group $F$ and Linear group $GL_{infty}(ZZ)$[OL]. [ 1 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4410900
 
 
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 $H$.
Keywords:Thompson's group $F$; Word-metric; Lipschitz map
 
 
 

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