Counting lattices in products of trees
Nir Lazarovich, Ivan Levcovitz, Alexander Margolis · arXiv (Cornell University) · 2022
A BMW group of degree $(m,n)$ is a group that acts simply transitively on vertices of the product of two regular trees of degrees $m$ and $n$. We show that the number of commensurability classes of BMW groups of degree $(m,n)$ is bounded between $(mn)^{αmn}$ and $(mn)^{βmn}$ for some $0