The chameleon groups of Richard J. Thompson: Automorphisms and dynamics

@article{Brin1996TheCG,
  title={The chameleon groups of Richard J. Thompson: Automorphisms and dynamics},
  author={Matthew G. Brin},
  journal={Publications Math{\'e}matiques de l'Institut des Hautes {\'E}tudes Scientifiques},
  year={1996},
  volume={84},
  pages={5-33}
}
The automorphism groups of several of Thompson's countable groups of piecewise linear homeomorphisms of the line and circle are computed and it is shown that the outer automorphism groups of these groups are relatively small. These results can be interpreted as stability results for certain structures of PL functions on the circle. Machinery is developed to relate the structures on the circle to corresponding structures on the line. 

References

Publications referenced by this paper.
SHOWING 1-10 OF 18 REFERENCES

Groups of piecewise linear homeomorphisms

Melanie Stein
  • 1992
VIEW 2 EXCERPTS

Projective aspects of the Higman-Thompson group

P. GREENBERG
  • Group Theory from a Geometrical Viewpoint, ICTP conference, Triest, Italy, 1990, E. Ghys, A. Haefliger, A. Verjovsky, Editors, World Scientific, Singapore
  • 1991
VIEW 1 EXCERPT

The geometry of finitely presented infinite simple groups

K. S. BROWN
  • Algorithms and Classification in Combinatorial Group Theory, G. Baumslag and C. F. Miller, III, Eds., MSRI Publications, Number 23, Springer- Verlag, New York
  • 1991
VIEW 1 EXCERPT