The Dynnikov coordinate system and solving the word problem in braid groups
dc.contributor.advisor | Toby Hall | |
dc.contributor.author | MASHAEL KUWAYKIB MOSIAR ALDHAFEERI | |
dc.date | 2020 | |
dc.date.accessioned | 2022-05-26T17:10:44Z | |
dc.date.available | 2022-05-26T17:10:44Z | |
dc.degree.department | Mathematical Sciences | |
dc.degree.grantor | Faculty of Science and Engineering | |
dc.description.abstract | The Dynnikov coordinate system is the fundamental technique for study- ing the action of braids. There are two substantial advantages of the Dynnikov coordinate system: the first one, which will be discussed in this paper, is that it is efficient for solving the word problem in the braid group (deciding the equality of braids); second, it can be used to estimate the growth rate of pseudo-Anosov isotopy classes on the n-times punctured disk | |
dc.identifier.uri | https://drepo.sdl.edu.sa/handle/20.500.14154/30905 | |
dc.language.iso | en | |
dc.title | The Dynnikov coordinate system and solving the word problem in braid groups | |
sdl.thesis.level | Master | |
sdl.thesis.source | SACM - United Kingdom |