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arXiv · 2003.11116

A characterization of high transitivity for groups acting on trees

Pierre Fima·François Le Maître·Soyoung Moon·Yves Stalder
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Abstract

We establish a sharp sufficient condition for groups acting on trees to be highly transitive when the action on the tree is minimal of general type. This gives new examples of highly transitive groups, including icc non-solvable Baumslag-Solitar groups, thus answering a question of Hull and Osin.

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Pierre Fima, François Le Maître, Soyoung Moon, Yves Stalder. 2020-03-24. A characterization of high transitivity for groups acting on trees. https://doi.org/10.19086/da.37645

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