We show that the nonzero roots of the torsion polynomials associated
to the infinite cyclic covers of a given compact, connected,
orientable 3–manifold M are contained in a compact part of
C* a priori determined by M. This result is applied to
prove that when M is closed, it dominates at most finitely many
Sol manifolds.
Dedicated to the memory of Heiner
Zieschang
Keywords
nonzero degree map, torsion module,
surface bundle, Sol manifold