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Mathematische Zeitschrift

, Volume 240, Issue 1, pp 211–232 | Cite as

Positive presentations of the braid groups and the embedding problem

  • Jae Woo Han
  • Ki Hyoung Ko
Original article

Abstract.

A large class of positive finite presentations of the braid groups is found and studied. It is shown that no presentations but known exceptions in this class have the property that equivalent braid words are also equivalent under positive relations.

Keywords

Large Class Positive Relation Braid Group Finite Presentation Positive Presentation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Jae Woo Han
    • 1
  • Ki Hyoung Ko
    • 1
  1. 1.Department of Mathematics, Korea Advanced Institute of Science and Technology, Taejon, 305–701, Korea (e-mail: jwhan@knot.kaist.ac.kr; knot@knot.kaist.ac.kr) KR

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