Let $T$ be a regular tree, and suppose that $G \leq \mathrm{Aut}(T)$ has finite quotient graph, $T / G$. Is it true (in general) that $G$ will have trivial centralizer in the full automorphism group? If not, are there more specialized situations when this is true?
2026-03-29 04:09:38.1774757378
Groups acting on (regular) trees with finite quotient
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