## On certain permutation representations of the braid group

##### Authors
Iliev, Valentin Vankov
##### Description
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
##### Keywords
Mathematics - Group Theory, Mathematical Physics, 20F36, 20E22