Residually finite rationally solvable groups and virtual fibring

Dawid Kielak shows that a finitely generated residually finite rationally solvable (or RFRS) group is virtually fibred if a homological obstruction (the first L²-Betti number) vanishes. Kielak discusses his new proof, which in particular reproves the analogous result of Ian Agol for fundamental groups of 3-manifolds. Image courtesy of Dawid Kielak.

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