hompson群~$F$~和线性群~$GL_{infty}(ZZ)$~
hompson's group $F$ and Linear group $GL_{infty}(ZZ)$
本文主要证明了存在一个单的李普西兹映射φ:(F, d_{S})longrightarrow(H,d)$, 其中~$F$~是Thompson群, $d_{S}$~是~$F$~关于有限生成集~$S={x_{0}, x_{1}}$~的词长度, $H$~是线性群~$GL_{infty}(ZZ)$~的一个子群, $d$~是$H$~上的某个度量.
hepaper proves that there is an injective Lipschitz map φ:(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 $H$.
陈晓漫、吴艳
数学
hompson群~$F$词度量李普西兹映射
hompson's group $F$Word-metricLipschitz map
陈晓漫,吴艳.hompson群~$F$~和线性群~$GL_{infty}(ZZ)$~[EB/OL].(2011-03-01)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201103-1.点此复制
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