English

Notes on relatively hyperbolic groups and relatively quasiconvex subgroups

Group Theory 2013-01-16 v1

Abstract

We define relatively quasiconvex subgroups of relatively hyperbolic groups in the sense of Osin and show that such subgroups have expected properties. Also we state several definitions equivalent to the definition of relatively hyperbolic groups in the sense of Osin.

Keywords

Cite

@article{arxiv.1301.3201,
  title  = {Notes on relatively hyperbolic groups and relatively quasiconvex subgroups},
  author = {Yoshifumi Matsuda and Shin-ichi Oguni and Saeko Yamagata},
  journal= {arXiv preprint arXiv:1301.3201},
  year   = {2013}
}

Comments

25 pages

R2 v1 2026-06-21T23:09:21.792Z