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Pré-Publication, Document De Travail Année : 2022

Strongly contracting axes for fully irreducible automorphisms of Generalized Baumslag-Solitar groups

Résumé

Similarly to the action of Out(FN) on Outer Space, the outer automorphism group of a Generalized Baumslag Solitar group acts on a deformation space endowed with the Lipschitz metric and the action of any fully irreducible automorphism with a train track representative is hyperbolic. Inspired by previous work by Algom-Kfir, we prove that the axis of such an automorphism is strongly contracting.
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Dates et versions

hal-03741679 , version 1 (01-08-2022)

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  • HAL Id : hal-03741679 , version 1

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Chloé Papin. Strongly contracting axes for fully irreducible automorphisms of Generalized Baumslag-Solitar groups. 2022. ⟨hal-03741679⟩
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