When knots don't fiber

Dan Silver, University of South Alabama

In this joint work with Susan Williams we consider the conjecture: a
knot is nonfibered if and only if its infinite cyclic cover has
uncountably many finite covers. We prove it for a class of knots that
includes all knots of genus 1. We also discuss two equivalent forms of
the conjecture, one involving twisted Alexander polynomials, the other
a weak form of subgroup separability.