A Note on Words in Braid Monoids
โ Scribed by Jean Michel
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 152 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
One of the most interesting questions about a group is whether its word problem can be solved and how. The word problem in the braid group is of particular interest to topologists, algebraists, and geometers, and is the target of intensive current research. We look at the braid group from a topologi
A new presentation of the n-string braid group B n is studied. Using it, a new solution to the word problem in B n is obtained which retains most of the desirable features of the Garside Thurston solution, and at the same time makes possible certain computational improvements. We also give a related
Hamidoune, Y.O., On a subgroup contained in some words with a bounded length, Discrete Mathematics 103 (1992) 171-176. Let G be a group and let A and B be two finite nonvoid subsets of G such that 1$ B. Using results of Kemperman, we show that either IA U B U ABl b IAl + IBI or there exists a nonnul