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={J. Lond. Math. Soc.},
  year={2012},
  volume={85},
  pages={301-322}
}
  • Claire Wladis
  • Published 2012
  • Mathematics, Computer Science
  • J. Lond. Math. Soc.
We consider the Thompson-Stein group F(n1, ..., nk) where n1, ..., nk 2 {2,3,4, ...}, k 2 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… Expand
3 Citations

References

SHOWING 1-10 OF 23 REFERENCES
Thompson's group F(n) is not minimally almost convex
Automorphisms of Generalized Thompson Groups
Minimal Length Elements of Thompson's Group F
ON THE FINITENESS PROPERTIES OF GROUPS
Groups of piecewise linear homeomorphisms
The combinatorial structure of cocompact discrete hyperbolic groups
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