Detecting free splittings in relatively hyperbolic groups

Abstract

We describe an algorithm which determines whether or not a group which is hyperbolic relative to abelian groups admits a nontrivial splitting over a finite group.

15 pages. Version 2 is 17 pages, edited in light of referee's comments. To appear in Transactions of the AMS

References in corpus (2)

• Algorithmic Properties of Relatively Hyperbolic Groups
• The Isomorphism Problem for Toral Relatively Hyperbolic Groups

Cited by in corpus (7)

• The isomorphism problem for all hyperbolic groups
• Deciding Isomorphy using Dehn fillings, the splitting case
• Computing JSJ decompositions of hyperbolic groups
• Relatively Hyperbolic Groups have Semistabile Fundamental Group at Infinity
• Detecting geometric splittings in finitely presented groups
• Enumerating limit groups
• Vertex links and the Grushko decomposition