Surface subgroup conjecture
= Surface subgroup conjecture
{wiki=Surface_subgroup_conjecture}
The Surface Subgroup Conjecture is a conjecture in the field of geometric topology and group theory, particularly related to the study of fundamental groups of 3-manifolds. It states that every finitely generated, word hyperbolic group contains a subgroup that is isomorphic to the fundamental group of a closed surface of genus at least 2.