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Brunnian braids and some of their generalizations

1999/07/12 by Theodore Stanford, Stanford, Theodore · 1 citation
Mathematics · #20F36 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20F36

paper · pdf · doi:10.48550/arxiv.math/9907072

6 pages, 2 figures

arxiv created 1999/07/12 · openalex publication_date 1999/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use a variation on the commutator collection process to characterize those pure braids which become trivial when any one strand is deleted, or, more generally, those pure braids which become trivial when all the strands in any one of a list of sets of strands is deleted.

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