3 problems

A BMW group of degree $(m,n)$ is a group in the paper's class acting on a product of regular trees of degrees $m$ and $n$. Consider BMW groups of degree $(m,n)$ up to conjugacy, an…

A BMW group is a group acting on a product of two regular trees, and a BMW group of degree $(m,n)$ has tree factors of degrees $m$ and $n$. In the range $n>m^5$, consider the rando…

Type I conjecture. Then $G$ is a type ${\rm I}$ group.