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Highly Transitive Actions of Out(Fn)

Shelly Garion, Yair Glasner
published 2011-11-10

An action of a group on a set is called k-transitive if it is transitive on ordered k-tuples and highly transitive if it is k-transitive for every k. We show that for n>3 the group Out(Fn) = Aut(Fn)/Inn(Fn) admits a faithful highly transitive action on a countable set.

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