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arXiv · 0910.1727

On certain permutation representations of the braid group

Valentin Vankov Iliev
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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.

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Valentin Vankov Iliev. 2009-12-08. On certain permutation representations of the braid group. https://arxiv.org/abs/0910.1727

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