On certain permutation representations of the braid group

Details On certain permutation representations of the braid group On certain permutation representations of the braid group

2009-10-09

arxiv.org/abs/0910.1727v2

Mathematics

Group Theory

10 pages, modified theorem, corrected typos

Scientific paper

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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