Some problems on the universality of words in groups
β Scribed by A. Ehrenfeucht; S. Fajtlowicz; J. Malitz; J. Mycielski
- Book ID
- 112760104
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 118 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A finite group is called Z-sequenceable if its non-identity eiements can be listed x,. x2,. . ., x, $0 that XIX,+~ =&+I& fC?r i 'l,Z,...,rZ-1. Various necessary and sufficient conditions are determined for such sequencings to exist. In particular, it is proved that if n B 3, then the symmetric grbup
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