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  1. ; (, Pacific Journal of Mathematics)
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  2. ; (, Journal of the Institute of Mathematics of Jussieu)
    Abstract Let M be an irreducible $$3$$ -manifold M with empty or toroidal boundary which has at least one hyperbolic piece in its geometric decomposition, and let A be a finite abelian group. Generalizing work of Sun [20] and of Friedl–Herrmann [7], we prove that there exists a finite cover $$M' \to M$$ so that A is a direct factor in $$H_1(M',{\mathbb Z})$$ . 
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