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arXiv · 1510.08113

Farrell-Jones via Dehn fillings

Yago Antolín·Rémi Coulon·Giovanni Gandini
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Abstract

Following the approach of Dahmani, Guirardel and Osin, we extend the group theoretical Dehn filling theorem to show that the pre-images of infinite order elements have a certain structure of a free product. We then apply this result to show that groups hyperbolic relative to residually finite groups satisfying the Farrell-Jones conjecture, they satisfy the Farrell-Jones conjecture.

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Yago Antolín, Rémi Coulon, Giovanni Gandini. 2015-10-27. Farrell-Jones via Dehn fillings. https://doi.org/10.1142/s1793525318500292

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