Presenting parabolic subgroups
Group Theory
2014-10-01 v1 Geometric Topology
Abstract
Consider a relatively hyperbolic group G. We prove that if G is finitely presented, so are its parabolic subgroups. Moreover, a presentation of the parabolic subgroups can be found algorithmically from a presentation of G, a solution of its word problem, and generating sets of the parabolic subgroups. We also give an algorithm that finds parabolic subgroups in a given recursively enumerable class of groups.
Cite
@article{arxiv.1010.1083,
title = {Presenting parabolic subgroups},
author = {François Dahmani and Vincent Guirardel},
journal= {arXiv preprint arXiv:1010.1083},
year = {2014}
}
Comments
15 pages