Highly transitive actions of free products

Abstract

We characterize free products admitting a faithful and highly transitive action. In particular, we show that the group $\PSL_2(\Z)\simeq (\Z/2\Z)*(\Z/3\Z)$ admits a faithful and highly transitive action on a countable set.

15 pages, 4 figures, Minor changes

Cited by in corpus (2)

• Maximal von Neumann subalgebras arising from maximal subgroups
• Automorphisms of algebraic varieties and infinite transitivity