On regular coverings of 3-manifolds by homology 3-spheres (Q1183108)

This paper contains results as the following. Let \(G\) be a finite group acting freely orthogonally on \(S^ 3\). If \(G\) acts freely in a homology 3-sphere \(\widetilde{M}\), and if some particular \(\mathbb{Z}[G]\)-module satisfies a cancellation property, then \(\widetilde{M}\to\widetilde{M}/G\) is the pullback of \(S^ 3\to S^ 3/G\) by a map \(f:\widetilde{M}/G\to S^ 3/G\) where degree is relatively prime to the order of \(G\). The paper contains some results on Seifert manifolds.