Free group automorphisms with many fixed points at infinity
Abstract
A concrete family of automorphisms alphan of the free group Fn is exhibited, for any n > 2, and the following properties are proved: alphan is irreducible with irreducible powers, has trivial fixed subgroup, and has 2n-1 attractive as well as 2n repelling fixed points at bdry Fn. As a consequence of a recent result of V Guirardel there can not be more fixed points on bdry Fn, so that this family provides the answer to a question posed by G Levitt.
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