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

Details The chameleon groups of Richard J. Thompson: automorphisms and dynamics The chameleon groups of Richard J. Thompson: automorphisms and dynamics

1995-07-21

arxiv.org/abs/math/9507205v1

Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques 84 (1997), 5-33

Mathematics

Group Theory

Scientific paper

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.

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