On $ \pi $-hyperbolic knots and branched coverings

Abstract.

We prove that, for any given $n > 2$, a $\pi$-hyperbolic knot is determined by its 2-fold and n-fold cyclic branched coverings. We also prove that a $2\pi/m$-hyperbolic knot which is not determined by its m-fold and n-fold cyclic branched coverings, $2 < m < n$, must have genus $(n - 1)(m - 1)/2$.