Abstract
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
$H_1(M',{\mathbb Z})$
.
Funder
National Science Foundation
Publisher
Cambridge University Press (CUP)
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