2010/08/03 by Garion, Shelly, Glasner, Yair
#20F28 (Primary) 20E05 (Secondary) 20F05 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1008.0563
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.