English

Conservative Subgroup Separability For Surfaces With Boundary

Geometric Topology 2014-10-01 v1

Abstract

If F is a surface with boundary, then a finitely generated subgroup without peripheral elements of G = {\pi}_1(F) can be separated from finitely many other elements of G by a finite index subgroup of G corresponding to a finite cover F' with the same number of boundary components as F .

Keywords

Cite

@article{arxiv.1204.4636,
  title  = {Conservative Subgroup Separability For Surfaces With Boundary},
  author = {Mark D. Baker and Daryl Cooper},
  journal= {arXiv preprint arXiv:1204.4636},
  year   = {2014}
}
R2 v1 2026-06-21T20:52:38.852Z