具有南北动力学和自由子群的元素在Thompson群T和V中具有正密度
Elements with north-south dynamics and free subgroups have positive density in Thompson's groups T and V
摘要：
我们表明，汤普森的组T和V，有南北动态作用于圆的元素的密度是积极的分层的大小。我们表明，分数的元素对产生一个自由子群的秩2是积极的，在这两个群体相对于分层的基础上图的大小，这表明相关的子群谱的$T$和$V$包含自由群。
英文摘要：
We show that the density of elements in Thompson's groups T and V which have north-south dynamics acting on the circle is positive with respect to a stratification in terms of size. We show that the fraction of element pairs which generate a free subgroup of rank two is positive in both groups with respect to a stratification based on diagram size, which shows that the associated subgroup spectra of $T$ and $V$ contain free groups.
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