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The Word and Conjugacy Problems in Bn

2003

Abstract
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The paper explores the word, conjugacy, and Markov problems within the context of braid groups, specifically Bn. The authors provide foundational definitions and historical context for these problems, with a focus on the significance of knot theory and the relationships among the problems. They present an algorithm for solving the conjugacy problem in Bn, along with its computational complexity, highlighting advancements and unresolved aspects in this area of research.