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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2010.tde-17082010-143239
Document
Author
Full name
Juliana Roberta Theodoro de Lima
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2010
Supervisor
Committee
Campos, José Eduardo Prado Pires de (President)
Barros, Tomas Edson
Mattos, Denise de
Title in Portuguese
Apresentações dos grupos de tranças em superfícies
Keywords in Portuguese
Apresentações
Problema da palavra
Tranças em superfícies
Abstract in Portuguese
Neste trabalho, estudamos os grupos de tranças em superfícies visando encontrar apresentações para estes grupos em superfícies fechadas orientáveis de gênero g >= 1 ou superfícies fechadas não orientáveis de gênero g >= 2. Uma consequência destas apresentações é resolvermos o problema da palavra, que consiste em encontrar um algoritmo para decidir quando uma dada palavra num grupo definido por seus geradores e suas relações é a palavra trivial
Title in English
Presentations of surface braid groups
Keywords in English
Presentations
Surface braid groups
Word problem
Abstract in English
In this work, we find presentations for surface braid groups either in closed orientable surfaces of genus g >= 1 or in closed non-orientable surfaces of genus g >= 2. A consequence of this presentations is to solve the word problem, which consists in finding an algorithm to decide when a given word in a group defined by its generators and its relations is the trivial word
 
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Dissertacao.pdf (1.63 Mbytes)
Publishing Date
2010-08-17
 
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