The braid group injects in the virtual braid group

2020/08/21 by Robin Gaudreau, Gaudreau, Robin · 1 citation
Mathematics · #20F36 #57K12 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2008.09631

openalex publication_date 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The virtual braid groups are generalizations of the classical braid groups. This paper gives an elementary proof that the classical braid group injects into the virtual braid group over the same number of strands.

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• Virtual planar braid groups and permutations

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