Automorphisms of generalized Thompson groups
Group Theory
2013-09-04 v1
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.
Keywords
Cite
@article{arxiv.math/9708202,
title = {Automorphisms of generalized Thompson groups},
author = {Matthew G. Brin and Fernando Guzman},
journal= {arXiv preprint arXiv:math/9708202},
year = {2013}
}
Comments
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