English

Relatively Hyperbolic Groups with Rapid Decay Property

Group Theory 2007-05-23 v2 Functional Analysis

Abstract

We prove that a finitely generated group GG hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i, i=1,2,..., m, has the Rapid Decay property.

Keywords

Cite

@article{arxiv.math/0405500,
  title  = {Relatively Hyperbolic Groups with Rapid Decay Property},
  author = {Cornelia Drutu and Mark Sapir},
  journal= {arXiv preprint arXiv:math/0405500},
  year   = {2007}
}

Comments

10 pages. Accepted in International Mathematics Research Notices