Highly transitive actions of $̊m Out(F_n)$ Academic Article uri icon

abstract

  • 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.

publication date

  • January 1, 2013