Closed braids which are not prime knots
Published online by Cambridge University Press: 24 October 2008
Extract
An element B ∈ Bn, the braid group on n strings, which can be written as
in terms of the standard generators of Bn is called a split braid. It is easy to see that the resulting closed braid is the connected sum of the closed braids Ĉ and on k + 1 and n − k strings respectively (figure 1).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 421 - 426
- Copyright
- Copyright © Cambridge Philosophical Society 1979
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