On certain permutation representations of the braid group

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Iliev, Valentin Vankov
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Abstract
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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.
Comment: 10 pages, modified theorem, corrected typos
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Mathematics - Group Theory, Mathematical Physics, 20F36, 20E22
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