A sufficient condition for a 2-dimensional orbifold to be good

Publication date: 7 November 2018

Abstract: We prove that a connected 2-dimensional orbifold with finitely generated and infinite orbifold fundamental group is good. We also describe all the good 2-dimensional orbifolds with finite orbifold fundamental groups

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Group actions on manifolds and cell complexes in low dimensions (57M60) Low-dimensional topology of special (e.g., branched) coverings (57M12) Topology and geometry of orbifolds (57R18)