CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES
CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES
Let $T$ be a locally finite tree without vertices of degree $1$ . We show that among the closed subgroups of $\text{Aut}(T)$ acting with a bounded number of orbits, the Chabauty-closure of the set of topologically simple groups is the set of groups without proper open subgroup of finite index. …