2 problems

Let $p$ be a prime, let $T_p$ be the rooted $p$-ary tree, and let $W_p$ be its full automorphism group. A pro-$p$ group is just-infinite if all its non-trivial closed normal subgro…

Let $G$ be a branch group and let $W\leq G$ be a weakly maximal subgroup. Write $\NR(W)$ for the non-rigidity tree of $W$, and let $\partial\NR(W)$ denote its boundary. Minimality…