Prescribed virtual homological torsion of 3-manifolds (with M. Chu). Preprint (2020). .pdf

Abstract We prove that given any finite abelian group A and any irreducible 3-manifold M with empty or toroidal boundary which is not a graph manifold there exists a finite cover M' → M so that A is a direct factor in H₁(M,Z). This generalizes results of Sun [Sun15] and of Friedl-Herrmann [FH17].