On certain permutation representations of the braid group

2009/10/09 by Valentin Vankov Iliev, Iliev, Valentin Vankov · 1 citation
Mathematics · #20E22 #20F36 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0910.1727

openalex publication_date 2009/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the proof of a structural theorem, concerning certain homomorphic images of Artin braid group on n strands in finite symmetric groups. It is shown that any one of these permutation groups is an extension of the symmetric group on n letters by an appropriate abelian group, and in "half" of the cases this extension splits.

Cited by

• A note on certain finite-dimensional representations of the braid group

Related

• On certain permutation representations of the braid group. Part II
• A note on certain finite-dimensional representations of the braid group
• New Permutation Representations of the Braid Group
• Permutation representations of the braid group commutator subgroup
• Braids and Permutations