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Volume 191
No. 1

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Volume 191, No. 1 (1999), 183-188

Bert Wiest
Dehornoy's ordering of the braid groups extends the subword ordering

Abstract:

We give a simple proof of the result of Laver and Burckel that inserting a conjugate of a positive standard generator of the braid group anywhere in a given braid yields a braid which is larger in the sense of Dehornoy.