Mathematics – Group Theory
Scientific paper
2003-10-29
Mathematics
Group Theory
11 pages, 6 figures
Scientific paper
We describe a family of words in Thompson's group F which present a challenge to the question of finding canonical minimal length representatives, and which show that F is not combable by geodesics. These words have the property that there are only two possible suffixes of long lengths for geodesic paths to the word from the identity; one is of the form $g^k$ and the other of the form $g^{-k}$ where g is a generator of the group.
Cleary Sean
Taback Jennifer
No associations
LandOfFree
Seesaw words in Thompson's group F 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 Seesaw words in Thompson's group F, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Seesaw words in Thompson's group F will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-250848