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Positive presentations of the braid groups and the embedding problem

✍ Scribed by Jae Woo Han; Ki Hyoung Ko


Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
348 KB
Volume
240
Category
Article
ISSN
0025-5874

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On complexity of the word problem in bra
✍ Hessam Hamidi-Tehrani πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 350 KB

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