Conservative Subgroup Separability For Surfaces With Boundary

Abstract

If F is a surface with boundary, then a finitely generated subgroup without peripheral elements of G = π_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 .

References in corpus (1)

• Closed Quasi-Fuchsian Surfaces In Hyperbolic Knot Complements

Cited by in corpus (3)

• Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds
• Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces
• A characterization on separable subgroups of 3-manifold groups