Examples of centralizers in the Artin braid groups

2003/06/29 by Nikolai V. Ivanov, Ivanov, Nikolai V.
Mathematics · #20F36 #57M07 #57M99 #Advanced Algebra and Geometry #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:57M07 #msc:57M99

paper · pdf · doi:10.48550/arxiv.math/0306418

6 pages, 0 figures

arxiv created 2003/06/29 · openalex publication_date 2003/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of this paper is to construct examples of centralizers in the Artin braid groups requiring the number of generators quadratic in the number of strings. These examples disprove a recent conjecture of N. Franco and J. Gonzalez-Meneses.

Citations

• Automorphisms of surface braid groups

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