Free \(\mathbb{Q}\)-groups are residually torsion-free nilpotent

DOI10.24033/asens.2587zbMath1548.20044MaRDI QIDQ6596071

Andrei Jaikin-Zapirain

Publication date: 2 September 2024

Published in: Annales Scientifiques de l'École Normale Supérieure. Quatrième Série (Search for Journal in Brave)

zbMATH Keywords

residually finite groupresidually nilpotent groupuniversal division ring of fractionsfree pro-\(p\) group\(\mathbb{Q}\)-completionfree \(\mathbb{Q}\)-groupmod-\(p\) \(L^2\)-Betti numbers

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

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