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Translation Lengths in Out(F n)
Authors:Emina Alibegović
Institution:(1) Department of Mathematics, University of Utah, 155 S 1400 E, Rm 233, Salt Lake City, UT, 84112-0090, U.S.A.
Abstract:We prove that all elements of infinite order in Out(F n) have positive translation lengths; moreover, they are bounded away from zero. As a consequence we get a new proof that solvable subgroups of Out(F n) are finitely generated and virtually Abelian.
Keywords:Automorphisms of free groups  translation lengths
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