English

Translation lengths in Out(F_n)

Group Theory 2007-05-23 v2 Geometric Topology

Abstract

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

Keywords

Cite

@article{arxiv.math/0009191,
  title  = {Translation lengths in Out(F_n)},
  author = {Emina Alibegovic},
  journal= {arXiv preprint arXiv:math/0009191},
  year   = {2007}
}

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Corrected typos

R2 v1 2026-07-22T16:34:50.249Z