Geodesic
A hyperbolic free-by-cyclic group determined by its finite quotients
Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 500-502

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DOI

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.
DOI : 10.1017/S0017089525000096
Mots-clés : free-by-cyclic group, hyperbolic group, profinite rigidity, residual finiteness, Out(F_n) 
Andrew, Naomi; Hillen, Paige; Lyman, Robert Alonzo; Pfaff, Catherine Eva. A hyperbolic free-by-cyclic group determined by its finite quotients. Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 500-502. doi: 10.1017/S0017089525000096
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     title = {A hyperbolic free-by-cyclic group determined by its finite quotients},
     journal = {Glasgow mathematical journal},
     pages = {500--502},
     year = {2025},
     volume = {67},
     number = {3},
     doi = {10.1017/S0017089525000096},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089525000096/}
}
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