• Corpus ID: 249953731

Profinite rigidity of fibring

@inproceedings{Hughes2022ProfiniteRO,
  title={Profinite rigidity of fibring},
  author={Sam Hughes and Dawid Kielak},
  year={2022}
}
. We introduce the classes of TAP groups, in which various types of algebraic fibring are detected by the non-vanishing of twisted Alexander polynomials. We show that finitely presented LERF groups lie in the class TAP 1 ( R ) for every integral domain R , and deduce that algebraic fibring is a profinite property for such groups. We offer stronger results for algebraic fibring of products of limit groups, as well as applications to profinite rigidity of Poincaré duality groups in dimension 3 and RFRS… 

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