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Towards a characterization of smooth braids

Published online by Cambridge University Press:  24 October 2008

D. L. Johnson
D. L. Johnson
Affiliation:
University of Nottingham
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Extract

The braid group on n + 1 strings has the presentation

where xi corresponds to the single crossing of the i string over the i + 1 string, and rij is a commutator when i < j − 1, and a braid relator when i = j − 1. B1 is the trivial group and B2 is infinite cyclic; we shall assume n ≥ 2 throughout.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 3 , November 1982 , pp. 425 - 427
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

REFERENCES

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