Translation lengths in Out(F_n)

Details Translation lengths in Out(F_n) Translation lengths in Out(F_n)

2000-09-20

arxiv.org/abs/math/0009191v2

Geometriae Dedicata 92:87-93, 2002

Mathematics

Group Theory

Corrected typos

Scientific paper

We prove that all elements of infinite order in $Out(F_n)$ have positive
translation lengths; moreover, they are bounded away from zero. Consequences
include a new proof that solvable subgroups of $Out(F_n)$ are finitely
generated and virtually abelian and the new result that such subgroups are
quasi-convex.

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