论文标题
可解决的鲍姆斯拉格 - 统治者组的增长率的新证明
A new proof of the growth rate of the solvable Baumslag-Solitar groups
论文作者
论文摘要
我们为大量$ bs（1，n）$的大量元素展示了常规的大地测量语言，并表明该语言的增长率是该组的增长率。这提供了$ bs（1，n）$的增长率的直接计算，该$最初是由Collins，Edjvet和Gill在[5]中计算的。我们的方法基于[8]中我们在[8]中开发的方法，以表明$ bs（1，n）$具有正面，负和零轭曲率元素的正密度，如Bar-Natan，Duchin和Kropholler在[1]中所引入的。
We exhibit a regular language of geodesics for a large set of elements of $BS(1,n)$ and show that the growth rate of this language is the growth rate of the group. This provides a straightforward calculation of the growth rate of $BS(1,n)$, which was initially computed by Collins, Edjvet and Gill in [5]. Our methods are based on those we develop in [8] to show that $BS(1,n)$ has a positive density of elements of positive, negative and zero conjugation curvature, as introduced by Bar-Natan, Duchin and Kropholler in [1].
