Automorphisms of generalized Thompson groups

Details Automorphisms of generalized Thompson groups Automorphisms of generalized Thompson groups

1997-08-28

arxiv.org/abs/math/9708202v1

Mathematics

Group Theory

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Scientific paper

We look at the automorphisms of Thompson type groups of piecewise linear homeomorphisms of the real line or circle that use slopes that are integral powers of a fixed integer n with n>2. We show that large numbers of "exotic" automorphisms appear---automorphisms that are represented as conjugation by non-PL homeomorphisms of the real line or circle. This is in contrast to the n=2 case where no such automorphisms appear.

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