Metric properties of braided Thompson's groups
Jose BurilloSean Cleary
20F6520F36Thompson's groupsbraid groups
Braided Thompson's groups are finitely presented groups introduced by Brin and Dehornoy which contain the ordinary braid groups $B_n$, the finitary braid group $B_{\infty}$ and Thompson's group $F$ as subgroups. We describe some of the metric properties of braided Thompson's groups and give upper and lower bounds for word length in terms of the number of strands and the number of crossings in the diagrams used to represent elements.
Indiana University Mathematics Journal
2009
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10.1512/iumj.2009.58.3468
10.1512/iumj.2009.58.3468
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Indiana Univ. Math. J. 58 (2009) 605 - 616
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