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arXiv · 1403.6716

A hyperbolic group with a finitely presented subgroup that is not of type $FP_3$

Yash Lodha
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Abstract

Brady proved that there are hyperbolic groups with finitely presented subgroups that are not of type $FP_3$ (and hence not hyperbolic). We reprove Brady's theorem by presenting a new construction. Our construction uses Bestvina-Brady Morse theory, but does not involve branched coverings.

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Yash Lodha. 2014-10-19. A hyperbolic group with a finitely presented subgroup that is not of type $FP_3$. https://arxiv.org/abs/1403.6716

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