English

The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups

Group Theory 2012-05-11 v3

Abstract

We discuss the notion of the universal relatively hyperbolic structure on a group which is used in order to characterize relatively hyperbolic structures on the group. We also study relations between relatively hyperbolic structures on a group and relative quasiconvexity for subgroups of the group.

Keywords

Cite

@article{arxiv.1106.5288,
  title  = {The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups},
  author = {Yoshifumi Matsuda and Shin-ichi Oguni and Saeko Yamagata},
  journal= {arXiv preprint arXiv:1106.5288},
  year   = {2012}
}

Comments

19 pages, several revisions throughout the paper