论文标题
具有南北动力学和自由亚组的元素在汤普森组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
论文作者
论文摘要
我们表明，汤普森组T和V具有北南动力学的元素的密度相对于大小的分层而言是积极的。我们表明，基于图大小的分层，在两组中生成自由级别的元素对的比例均为正，这表明相关的子组光谱$ t $ and $ v $包含免费组。
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.
