Growing trees from compact subgroups

https://t.co/liqb0yGMA6 P Caprace et. al. Growing trees from compact subgroups https://t.co/zwyNXzJ9TF

locally normal subgroups of $G/N$. As an application, we find a sufficient condition, given a one-ended t.d.l.c. group $G$, for all direct factors of open subgroups of $G$ to be trivial or open. [3/3 of https://t.co/JoC5f4fuLZ]

compact subgroups. The condition actually results in an action of $G/N$ on a tree with faithful micro-supported action on the boundary, where $N$ is compact, and is closely related to the Boolean algebra formed by the centralisers of [2/3 of https://t.co/J

We establish a new connection between local and large-scale structure in compactly generated totally disconnected locally compact (t.d.l.c.) groups $G$, finding a sufficient condition for $G$ to have more than one end in terms of its [1/3 of https://t.co/J