The complexity of Dehn's algorithm for word problems in groups
โ Scribed by B Domanski; M Anshel
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 361 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0196-6774
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
We prove that the word problem in the mapping class group of the once-punctured surface of genus g has complexity O(|w| 2 g) for |w| log(g) where |w| is the length of the word in a (standard) set of generators. The corresponding bound in the case of the closed surface is O(|w| 2 g 2 ). We also carry
The factorization problem in permutation groups is to represent an element g of some permutation group G as a word over a given set S of generators of G. For practical purposes, the word should be as short as possible, but must not be minimal. Like many other problems in computational group theory,