Annales Mathematiques Africaines


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Cylinders of length 1 for co-compact hyperbolic surface groups



BAMBA Klanan Bertrand and DIARRASSOUBA Siriky
Université Félix Houphouët Boigny



Mathematics Subject Classification: (MSC 2010) 20F70, 05C10, 05C12
Key words : Surface group, Bigons, Cylinder of length 1, Geometric presentation

Abstract:


In this paper, we give a combinatorial characterization of the cylinders of length 1 on the boundary of a co-compact hyperbolic surface group Γ, for some particular presentations called geometric.

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