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20.117 (2022)

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Let $G$ be a pro-$p$ group that is a 3-dimensional Poincaré duality group. Is $G$ coherent?

A group is said to be coherent if each of its finitely generated subgroups is finitely presented, and in the question the coherency is used in the pro-$p$ sense. The question is a famous problem for abstract groups, but has a positive answer for 3-manifold groups.

Contributor: P. Zalesskii

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