Third homology of \(\mathrm{SL}_2\) over number fields: the norm-Euclidean quadratic imaginary case

DOI10.1016/j.jpaa.2023.107515arXiv2212.07819MaRDI QIDQ6185288

Rodrigo Cuitún Coronado

Publication date: 8 January 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.07819

zbMATH Keywords

number fields\(K\)-theoryspecial linear groupgroup homology

Mathematics Subject Classification ID

(K)-theory in number theory (19F99)

Cites Work

• A refined Bloch group and the third homology of \(\mathrm{SL}_2\) of a field
• The third homology of \(\mathrm{SL}_2\) of fields with discrete valuation
• The third homology of \(\mathrm{SL}_2(\mathbb{Q})\)
• Third homology of general linear groups
• The third homology of the special linear group of a field
• Scissors congruences. II
• \(K_ 3\) of a field and the Bloch group
• Homology of classical Lie groups made discrete. III
• A Bloch-Wigner theorem over rings with many units. II.
• The extended Bloch group and algebraic \(K\)-theory
• A Bloch-Wigner complex for SL₂
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