Finite group actions and cyclic branched covers of knots in ${\mathbf{S}}^3$

Michel Boileau, Clara Franchi, Mattia Mecchia +2

We show that a hyperbolic $3$-manifold can be the cyclic branched cover of at most fifteen knots in ${\mathbf{S}}^3$. This is a consequence of a general result about finite groups of…