Abstract
Let [Formula: see text] be the group of automorphisms of the one-rooted [Formula: see text]-ary tree and [Formula: see text] be a transitive state-closed subgroup of [Formula: see text] with bounded finite conjugacy classes. We prove that the torsion subgroup Tor[Formula: see text] has finite exponent and determine an upper bound for the exponent. In case [Formula: see text] is a prime number, we prove that [Formula: see text] is either a torsion group or a torsion-free abelian group.
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