On countable coverings of word values in profinite groups
β Scribed by Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel
- Book ID
- 124139295
- Publisher
- Elsevier Science
- Year
- 2015
- Tongue
- English
- Weight
- 567 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
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
This paper is concerned with commutation classes of reduced words in Weyl groups. It is divided in three sections. In the first, we give a recursive formula for the number of reduced words in a commutation class. In the second, we give a tableau-like description of all the reduced words adapted to a