组 $F\left(\frac32\right)$ 的有限生成

José Burillo, Marc Felipe
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引用次数: 0

摘要

本文证明了$F/left(\frac32\right)$群是汤普森式的群,在$\mathbb{Z}\left[\frac16\right]$中具有断点,但其斜率只限于$\frac32$的幂,它是有限生成的,其生成集有两个元素。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Finite generation for the group $F\left(\frac32\right)$
In this paper it is proved that the group $F\left(\frac32\right)$, a Thompson-style group with breaks in $\mathbb{Z}\left[\frac16\right]$ but whose slopes are restricted only to powers of $\frac32$, is finitely generated, with a generating set of two elements.
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