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New presentations of surface braid groups

1999/10/05 by Juan González-Meneses, Juan Gonzalez-Meneses, Gonzalez-Meneses, Juan
Mathematics · #20F36 (Primary) 57N05 (Secondary) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #math.GT #msc:20F36 #msc:57N05

paper · pdf · doi:10.48550/arxiv.math/9910020

30 pages, 14 figures

arxiv created 1999/10/05 · openalex publication_date 1999/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.

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