English

Height in Splitting of Relatively Hyperbolic Groups

Geometric Topology 2020-11-10 v4

Abstract

Given a finite graph of relatively hyperbolic groups with its fundamental group relatively hyperbolic and edge groups quasi-isometrically embedded and relatively quasiconvex in vertex groups, we prove that vertex groups are relatively quasiconvex if and only if all the vertex groups have finite relative height in the fundamental group.

Keywords

Cite

@article{arxiv.1508.05188,
  title  = {Height in Splitting of Relatively Hyperbolic Groups},
  author = {Abhijit Pal},
  journal= {arXiv preprint arXiv:1508.05188},
  year   = {2020}
}

Comments

Minor errors corrected, accepted in Geom. Dedicata

R2 v1 2026-06-22T10:38:36.437Z