Algebraic & Geometric Topology

Highly transitive actions of free products

Soyoung Moon and Yves Stalder

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We characterize free products admitting a faithful and highly transitive action. In particular, we show that the group PSL2()(2)(3) admits a faithful and highly transitive action on a countable set.

Article information

Algebr. Geom. Topol., Volume 13, Number 1 (2013), 589-607.

Received: 16 May 2012
Revised: 16 October 2012
Accepted: 5 July 2012
First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20B22: Multiply transitive infinite groups 20E06: Free products, free products with amalgamation, Higman-Neumann- Neumann extensions, and generalizations

highly transitive actions free products Baire category Theorem


Moon, Soyoung; Stalder, Yves. Highly transitive actions of free products. Algebr. Geom. Topol. 13 (2013), no. 1, 589--607. doi:10.2140/agt.2013.13.589.

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