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PRESCRIBED VIRTUAL HOMOLOGICAL TORSION OF 3-MANIFOLDS
Published online by Cambridge University Press: 08 June 2022
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 $H_1(M',{\mathbb Z})$.
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 6 , November 2023 , pp. 2931 - 2941
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press