I know that not every finitely presented group can appear as a fundamental group of a closed, oriented, connected $3$-manifold. On the other hand, can every finitely generated abelian group be realized as a first homology group over $\mathbb Z$ of a closed, oriented, connected $3$-manifold?
2026-04-10 16:55:06.1775840106
First homology group of a closed, oriented, connected 3-manifold
192 Views Asked by Dima Gorev https://math.techqa.club/user/dima-gorev/detail AtRelated Questions in ALGEBRAIC-TOPOLOGY
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