Strong accessibility for hyperbolic groups

2021/03/01 by Hill, Michael Edward
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2103.01067

Abstract

This paper aims to give an account of theorem of Louder and Touikan which shows that many hierarchies consisting of slender JSJ-decompositions are finite. In particular JSJ-hierarchies of 2-torsion-free hyperbolic groups are always finite.

Related

• Unbounded domains in hierarchically hyperbolic groups
• Automorphisms of Groups and a Higher Rank JSJ Decomposition II: The single ended case
• A note on quotients of word hyperbolic groups with Property (T)
• Homogeneity of torsion-free hyperbolic groups
• Strong Property (T) and relatively hyperbolic groups