标题： 在树上以无环方式作用的群 显示英文标题

标题： Groups Acting Acylindrically on Trees

摘要： 我们发展了一个关于在单纯树上以无界且非初等方式作用的群的概念，我们称之为无界树群。 然后我们证明了当图积群和某些双曲$3$-流形的基本群是无界树群时的完整分类，并利用这些分类提供了具有在树上作用但没有非初等的无界作用在树上的无界双曲群的例子。 显示英文摘要

摘要： We develop a notion of groups that act acylindrically and non-elementarily on simplicial trees, which we call acylindrically arboreal groups. We then prove a complete classification of when graph products of groups and the fundamental groups of certain hyperbolic $3$-manifolds are acylindrically arboreal, and use these classifications to provide examples of acylindrically hyperbolic groups that have actions on trees but have no non-elementary acylindrical actions on trees.