Forest Diagrams for Elements of Thompson's Group F

@article{Belk2005ForestDF,
  title={Forest Diagrams for Elements of Thompson's Group F},
  author={James M. Belk and Kenneth S. Brown},
  journal={IJAC},
  year={2005},
  volume={15},
  pages={815-850}
}
We introduce forest diagrams to represent elements of Thompson’s group F . These diagrams relate to a certain action of F on the real line in the same way that tree diagrams relate to the standard action of F on the unit interval. Using forest diagrams, we give a conceptually simple length formula for elements of F with respect to the {x0, x1} generating set, and we discuss the construction of minimum-length words for positive elements. Finally, we use forest diagrams and the length formula to… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-8 of 8 references

Growth of Positive Words in Thompson’s Group F

Bur José Burillo
2003

Minimal Length Elements of Thompson’s Group F

S. Blake Fordham
Geom. Dedicata • 2003

Thompson’s Group F is Maximally Nonconvex

BeBu James Belk, Kai-Uwe Bux
2003

Introductory Notes to Richard Thompson’s Groups

J. W. Cannon, W. J. Floyd, W. R. Parry
L’Enseignement Mathmatique • 1996

Almost Convex Groups

Can James W. Cannon
Geom. Dedicata • 1987

Similar Papers

Loading similar papers…