Highly transitive actions of

  • Shelly Garion

    Universität Münster, Germany
  • Yair Glasner

    Ben Gurion University of the Negev, Beer Sheva, Israel


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.

Cite this article

Shelly Garion, Yair Glasner, Highly transitive actions of . Groups Geom. Dyn. 7 (2013), no. 2, pp. 357–376

DOI 10.4171/GGD/185