论文标题

广泛的Baumslag-Solitar群体完全不可还原自动形态的强烈收缩轴

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

论文作者

Papin, Chloé

论文摘要

与$ OUT(f_n)$在外层空间的动作类似,广义的Baumslag SOLIRAR组的外部自动形态群在具有Lipschitz指标的变形空间上,以及与火车轨道代表的任何完全不可估的自闭症的动作。受Algom-Kfir先前的工作的启发,我们证明了这种自动形态的轴是强烈收缩的。

Similarly to the action of $Out(F_N)$ 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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