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arxiv: 1203.5652 · v3 · pith:RL7TBHEFnew · submitted 2012-03-26 · 🧮 math.GR

Highly transitive actions of free products

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keywords highlytransitiveactionfaithfulfreeproductsactionsadmits
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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.

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