Transfer of the unitary $K_1$-functor under polynomial extensions

DOI10.1090/spmj/1502zbMath1388.19001OpenAlexW2795223314MaRDI QIDQ4636964

V. I. Kopeiko

Publication date: 17 April 2018

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1502

zbMATH Keywords

unitary grouptransferWitt groupunitary matrixunitary ringhyperbolic homomorphismunitary \(K_1\)-functorunitary Bass' nilpotent \(K_1\)-groupWitt cogroup

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K_1) of group rings and orders (19B28) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (2)

Bass' nilpotent unitary \(K_1\)-group of unitary ring ⋮ Unitary symbols and factorization of hyperbolic matrices

Cites Work

• On homotopization of the unitary $K_1$-functor
• The Nonfiniteness of Nil
• STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION
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