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Highly transitive actions of free products

Soyoung Moon and Yves Stalder
Algebraic & Geometric Topology 13 (2013) 589–607
DOI: 10.2140/agt.2013.13.589
Abstract

We characterize free products admitting a faithful and highly transitive action. In particular, we show that the group PSL2(ℤ) ≃ (ℤ∕2ℤ) ∗ (ℤ∕3ℤ) 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
References
Publication
Received: 16 May 2012
Revised: 16 October 2012
Accepted: 5 July 2012
Published: 23 March 2013
Authors
Soyoung Moon
Institut de Mathématiques de Bourgogne
Université de Bourgogne
UMR 5584 du CNRS, BP 47870
21078 Dijon
France
http://moon.perso.math.cnrs.fr/
Yves Stalder
Laboratoire de Mathématiques
Clermont Université, Université Blaise Pascal
BP 10448
63000 Clermont-Ferrand
France
http://math.univ-bpclermont.fr/~stalder/