On certain permutation representations of the braid group

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.

arXiv comment10 pages, modified theorem, corrected typos

Cited by in corpus (2)

• On certain permutation representations of the braid group. Part II
• A note on certain finite-dimensional representations of the braid group