An action of a group on a set is called -transitive if it is transitive on ordered -tuples and highly transitive if it is -transitive for every . We show that for the group admits a faithful highly transitive action on a countable set.
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Shelly Garion, Yair Glasner, Highly transitive actions of . Groups Geom. Dyn. 7 (2013), no. 2, pp. 357–376DOI 10.4171/GGD/185