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The Unsolvability of the Problem of the Equivalence of Words in a Group and Several Other Problems in Algebraby P. S. Novikov

✍ Scribed by Review by: A. Włodzimierz Mostowski


Book ID
124963165
Publisher
Association for Symbolic Logic
Year
1964
Tongue
English
Weight
340 KB
Volume
29
Category
Article
ISSN
0022-4812

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On complexity of the word problem in bra
✍ Hessam Hamidi-Tehrani 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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