The Dynnikov coordinate system and solving the word problem in braid groups

dc.contributor.advisorToby Hall
dc.contributor.authorMASHAEL KUWAYKIB MOSIAR ALDHAFEERI
dc.date2020
dc.date.accessioned2022-05-26T17:10:44Z
dc.date.available2022-05-26T17:10:44Z
dc.degree.departmentMathematical Sciences
dc.degree.grantorFaculty of Science and Engineering
dc.description.abstractThe 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.urihttps://drepo.sdl.edu.sa/handle/20.500.14154/30905
dc.language.isoen
dc.titleThe Dynnikov coordinate system and solving the word problem in braid groups
sdl.thesis.levelMaster
sdl.thesis.sourceSACM - United Kingdom

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