Mathematics – Group Theory
Scientific paper
2007-04-29
Proc. Amer. Math. Soc. 136 (2008), no. 7, 2631-2637
Mathematics
Group Theory
6 pages
Scientific paper
A subset of a group is characteristic if it is invariant under every automorphism of the group. We study word length in fundamental groups of closed hyperbolic surfaces with respect to characteristic generating sets consisting of a finite union of orbits of the automorphism group, and show that the translation length of any element with nonzero crossing number is positive, and bounded below by a constant depending only (and explicitly) on a bound on the crossing numbers of generating elements. This answers a question of B. Farb.
No associations
LandOfFree
Word length in surface groups with characteristic generating sets 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 Word length in surface groups with characteristic generating sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Word length in surface groups with characteristic generating sets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-408817