Hyperbolic automorphisms of free groups
by
Peter Brinkmann
University of Utah

An automorphism \phi:F --> F of a finitely generated free group F is said to be hyperbolic if there exist numbers M > 0 and \lambda > 1 such that

\lambda |g| <= max { |\phiM(g)|,  |\phi-M(g)| }

for all g in F, where |.| denotes some word metric on F.
We prove that an automorphism \phi:F --> F of a finitely generated free group F is hyperbolic if it has no nontrivial periodic conjugacy classes.

http://www.math.utah.edu/~brinkman

Date received: March 8, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caca-62.