• Corpus ID: 249953731

# Profinite rigidity of fibring

@inproceedings{Hughes2022ProfiniteRO,
title={Profinite rigidity of fibring},
author={Sam Hughes and Dawid Kielak},
year={2022}
}
• Published 22 June 2022
• Mathematics
. 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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