3 papers
math.GR2026
Quasi-convex Splittings of Acylindrical Graphs of Locally Finite-Height Groups
William D. Cohen
We find a condition on the acylindrical action of a finitely presented group on a simplicial tree which guarantees that this action will be dominated by an acylindrical action with…
math.GR2026
Groups Acting Acylindrically on Trees
William D. Cohen
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 classificatio…
math.GR2025
Acylindrical Visual Splittings and The Tits Alternative For Artin Groups
William D. Cohen
We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conditions of two well known conjectures to be acylindrical, and demonstrate how…