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Relations in the homeotropy group of a complete pretzel and the group of plat braids

โœ Scribed by A. L. Zil'berg; S. V. Matveev


Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
441 KB
Volume
29
Category
Article
ISSN
0001-4346

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On complexity of the word problem in bra
โœ Hessam Hamidi-Tehrani ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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