The word problem and the metric for the Thompson–Stein groups

@article{Wladis2012TheWP,
  title={The word problem and the metric for the Thompson–Stein groups},
  author={Claire Wladis},
  journal={Journal of the London Mathematical Society},
  year={2012},
  volume={85}
}
  • Claire Wladis
  • Published 19 November 2008
  • Mathematics
  • Journal of the London Mathematical Society
We consider the Thompson–Stein group F(n1,…,nk), where n1, …, nk∈{2, 3, 4, …} and k∈ℕ. We highlight several differences between the cases k=1 and k>1, including the fact that minimal tree‐pair diagram representatives of elements may not be unique when k>1. We establish how to find minimal tree‐pair diagram representatives of elements of F(n1,…,nk), and we prove several theorems describing the equivalence of trees and tree‐pair diagrams. We introduce a unique normal form for elements of F(n1… 
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