#### Volume 13, issue 1 (2013)

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Highly transitive actions of free products

### Soyoung Moon and Yves Stalder

Algebraic & Geometric Topology 13 (2013) 589–607
##### Abstract

We characterize free products admitting a faithful and highly transitive action. In particular, we show that the group ${PSL}_{2}\left(ℤ\right)\simeq \left(ℤ∕2ℤ\right)\ast \left(ℤ∕3ℤ\right)$ admits a faithful and highly transitive action on a countable set.

##### Keywords
highly transitive actions, free products, Baire category Theorem
##### Mathematical Subject Classification 2010
Primary: 20B22, 20E06