Residually finite rationally solvable groups and virtual fibring
We show that a finitely generated residually finite rationally solvable (or RFRS) group $G$ is virtually fibred, in the sense that it admits a virtual surjection to $\mathbb{Z}$ with a finitely generated kernel, if and only if the first $L^2$-Betti number of $G$ vanishes. This generalises (and gives...
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| Format: | Journal article |
| Language: | English |
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American Mathematical Society
2019
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