William D. Cohen
Published 2023-06-21Version 1
Motivated by a recent paper of Balasubramanya showing that every acylindrically hyperbolic group admits a non-elementary acylindrical action on a quasi-tree, we develop a theory of groups that act acylindrically and non-elementarily on simplicial trees. We classify the examples of graph products and hyperbolic 3-manifold groups, and consider groups that have actions on trees but have no non-elementary acylindrical actions on trees.
Acylindrical accessibility for groups acting on $\mathbf R$-trees
Limit groups and groups acting freely on R^n-trees
Groups acting on rooted trees and their representations on the boundary
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