Highly transitive groups among groups acting on trees

Yves Stadler (Université Clermont Auvergne)

21-Jun-2021, 06:30-07:30 (3 years ago)

Abstract: Highly transitive groups, i.e. groups admitting an embedding in Sym(N) with dense image, form a wide class of groups. For instance, M. Hull and D. Osin proved that it contains all countable acylindrically hyperbolic groups with trivial finite radical. After an introduction to high transitiviy, I will present a theorem (from joint work with P. Fima, F. Le Maître and S. Moon) showing that many groups acting on trees are highly transitive. On the one hand, this theorem gives new examples of highly transitive groups. On the other hand, it is sharp because of results by A. Le Boudec and N. Matte Bon.

group theory

Audience: researchers in the discipline


Symmetry in Newcastle

Organizer: Michal Ferov*
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