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Automorphisms of free groups have asymptotically periodic dynamics
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Gilbert Levitt
Published/Copyright:
July 1, 2008
Abstract
We show that every automorphism α of a free group Fk of finite rank k has asymptotically periodic dynamics on Fk and its boundary ∂Fk: there exists a positive power αq such that every element of the compactum 
converges to a fixed point under iteration of αq.
Further results about the dynamics of α, as well as an extension from Fk to word-hyperbolic groups, are given in the later sections.
Received: 2006-05-15
Published Online: 2008-07-01
Published in Print: 2008-June
© Walter de Gruyter Berlin · New York 2008
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Articles in the same Issue
- Automorphisms of free groups have asymptotically periodic dynamics
- Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties
- Castelnuovo theory via Gröbner bases
- Additive higher Chow groups of schemes
- Seminormal forms and Gram determinants for cellular algebras
- The orbifold Chow ring of hypertoric Deligne-Mumford stacks
- An intrinsic measure for submanifolds in stratified groups
- Addendum to the paper: The Chow rings of G2 and Spin(7)
