Automorphism groups of some affine and finite type Artin groups

Details Automorphism groups of some affine and finite type Artin groups Automorphism groups of some affine and finite type Artin groups

2004-08-30

arxiv.org/abs/math/0408412v1

Mathematics

Group Theory

Scientific paper

We observe that, for each positive integer n > 2, each of the Artin groups of finite type A_n, B_n=C_n, and affine type \tilde A_{n-1} and \tilde C_{n-1} is a central extension of a finite index subgroup of the mapping class group of the (n+2)-punctured sphere. (The centre is trivial in the affine case and infinite cyclic in the finite type cases). Using results of Ivanov and Korkmaz on abstract commensurators of surface mapping class groups we are able to determine the automorphism groups of each member of these four infinite families of Artin groups.

Affiliated with

Also associated with

No associations

Rating

Automorphism groups of some affine and finite type Artin groups 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 Automorphism groups of some affine and finite type Artin groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automorphism groups of some affine and finite type Artin groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-512551