Rank and Nielsen equivalence in hyperbolic extensions

Spencer Dowdall; Samuel J. Taylor

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arXiv · 1706.02368

Rank and Nielsen equivalence in hyperbolic extensions

Spencer Dowdall·Samuel J. Taylor

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Abstract

In this note, we generalize a theorem of Juan Souto on rank and Nielsen equivalence in the fundamental group of a hyperbolic fibered 3-manifold to a large class of hyperbolic group extensions. This includes all hyperbolic extensions of surfaces groups as well as hyperbolic extensions of free groups by convex cocompact subgroups of Out$(F_n)$.

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BibTeX RIS

Spencer Dowdall, Samuel J. Taylor. 2017-06-07. Rank and Nielsen equivalence in hyperbolic extensions. https://arxiv.org/abs/1706.02368

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