Finding simple curves in surface covers is undecidable

2018/06/10 by Irmer, Ingrid
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1806.03700

Abstract

It is shown that various questions about the existence of simple closed curves in normal subgroups of surface groups are undecidable.

Related

• Profinite rigidity of simple closed curves in surface groups
• An algebraic characterization of simple closed curves on surfaces with\n boundary
• A representation theoretic characterization of simple closed curves on a surface
• Incompressible solvable representations of surface groups
• Simple closed curves in stable covers of surfaces