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Automorphisms of generalized Thompson groups

Matthew G. Brin·Fernando Guzman
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Abstract

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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Matthew G. Brin, Fernando Guzman. 1997-08-28. Automorphisms of generalized Thompson groups. https://doi.org/10.1006/jabr.1997.7315

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