On an action of the braid group B_{2g+2} on the free group F_{2g}

Details On an action of the braid group B_{2g+2} on the free group F_{2g} On an action of the braid group B_{2g+2} on the free group F_{2g}

2012-04-11

arxiv.org/abs/1204.2377v1

Mathematics

Group Theory

11 pages

Scientific paper

We construct an action of the braid group B_{2g+2} on the free group F_{2g} extending an action of B_4 on F_2 introduced earlier by Reutenauer and the author. Our action induces a homomorphism from B_{2g+2} into the symplectic modular group Sp_{2g}(Z). In the special case g=2 we show that the latter homomorphism is surjective and determine its kernel, thus obtaining a braid-like presentation of Sp_4(Z).

Affiliated with

Also associated with

No associations

Rating

On an action of the braid group B_{2g+2} on the free group F_{2g} does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On an action of the braid group B_{2g+2} on the free group F_{2g}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On an action of the braid group B_{2g+2} on the free group F_{2g} will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716925