English

On the generalized membership problem in relatively hyperbolic groups

Group Theory 2020-05-27 v2

Abstract

The aim of this short note is to provide a proof of the decidability of the generalized membership problem for relatively quasi-convex subgroups of finitely presented relatively hyperbolic groups, under some reasonably mild conditions on the peripheral structure of these groups. These hypotheses are satisfied, in particular, by toral relatively hyperbolic groups.

Keywords

Cite

@article{arxiv.1908.03525,
  title  = {On the generalized membership problem in relatively hyperbolic groups},
  author = {Olga Kharlampovich and Pascal Weil},
  journal= {arXiv preprint arXiv:1908.03525},
  year   = {2020}
}

Comments

9 pages. An introduction and background section were added

R2 v1 2026-06-23T10:43:54.936Z