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arXiv · 2410.17817

A hyperbolic free-by-cyclic group determined by its finite quotients

Naomi Andrew·Paige Hillen·Robert Alonzo Lyman·Catherine Eva Pfaff
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Abstract

We show that the group $\langle a,b,c,t : a^t=b,b^t=c,c^t=ca^{-1} \rangle$ is profinitely rigid amongst free-by-cyclic groups, providing the first example of a hyperbolic free-by-cyclic group with this property.

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Naomi Andrew, Paige Hillen, Robert Alonzo Lyman, Catherine Eva Pfaff. 2024-10-23. A hyperbolic free-by-cyclic group determined by its finite quotients. https://doi.org/10.1017/s0017089525000096

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