Failure of separation by quasi-homomorphisms in mapping class groups

Details Failure of separation by quasi-homomorphisms in mapping class groups Failure of separation by quasi-homomorphisms in mapping class groups

2006-06-08

arxiv.org/abs/math/0606199v1

Proc. Amer. Math. Soc. 135 (2007), 2747-2750

Mathematics

Geometric Topology

4 pages

Scientific paper

We show that mapping class groups of surfaces of genus at least two contain elements of infinite order that are not conjugate to their inverses, but whose powers have bounded torsion lengths. In particular every homogeneous quasi-homomorphism vanishes on such an element, showing that elements of infinite order not conjugate to their inverses cannot be separated by quasi-homomorphisms.

Affiliated with

Also associated with

No associations

Rating

Failure of separation by quasi-homomorphisms in mapping class 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 Failure of separation by quasi-homomorphisms in mapping class groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Failure of separation by quasi-homomorphisms in mapping class groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507422