English

Proper actions on $\ell^p$ spaces for relatively hyperbolic groups

Group Theory 2020-07-20 v3 Geometric Topology

Abstract

We show that for any group GG that is hyperbolic relative to subgroups that admit a proper affine isometric action on a uniformly convex Banach space, then GG acts properly on a uniformly convex Banach space as well.

Keywords

Cite

@article{arxiv.1801.08047,
  title  = {Proper actions on $\ell^p$ spaces for relatively hyperbolic groups},
  author = {Indira Chatterji and François Dahmani},
  journal= {arXiv preprint arXiv:1801.08047},
  year   = {2020}
}

Comments

28 pages, revised

R2 v1 2026-06-22T23:54:23.498Z