Bass' nilpotent unitary \(K_1\)-group of unitary ring

DOI10.1007/s10958-019-04363-1zbMath1468.19006OpenAlexW2949666035WikidataQ127668308 ScholiaQ127668308MaRDI QIDQ2278170

V. I. Kopeiko

Publication date: 3 December 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04363-1

Mathematics Subject Classification ID

Whitehead groups and (K_1) (19B99) Linear algebraic groups over adèles and other rings and schemes (20G35) Hermitian (K)-theory, relations with (K)-theory of rings (19G38)

Cites Work

• Bass' \(NK\) groups and \(cdh\)-fibrant Hochschild homology
• The exponent of U Nil
• On the calculation of UNil
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• On homotopization of the unitary $K_1$-functor
• Unitary nilpotent groups and Hermitian $K$-theory. I
• Transfer of the unitary $K_1$-functor under polynomial extensions
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