Injective stability for unitary K1, revisited

DOI10.1017/is013001028jkt211zbMath1270.19003OpenAlexW2086032916WikidataQ114118201 ScholiaQ114118201MaRDI QIDQ4923115

Sergey Sinchuk

Publication date: 5 June 2013

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is013001028jkt211

zbMATH Keywords

stable range conditionsDennis-Vaserstein type decompositions

Mathematics Subject Classification ID

Whitehead groups and (K_1) (19B99)

Related Items

Local-global principle for the general quadratic and general Hermitian groups and the nilpotency of \(\mathrm{KH}_1\), Homological stability for automorphism groups, Injective stability for odd unitary \(K_1\), Decompositions of congruence subgroups of Chevalley groups, Normality and \(K_1\)-stability of Roy's elementary orthogonal group, Injective stability for odd-dimensional unitary \(K_1\), Commutators of relative and unrelative elementary unitary groups, Multiple commutator formulas for unitary groups

Cites Work

• Dennis-Vaserstein type decompositions.
• Subnormal structure of non-stable unitary groups over rings.
• Odd unitary groups.
• Hermitian groups and \(K\)-theory
• Overgroups of unitary groups.
• Stability for quadratic \(K_1\)
• Stability for Hermitian \(K_1\)
• Dimension theory and nonstable \(K_{1}\) of quadratic modules
• Normal subgroups of classical groups over rings
• Bak's work on theK-theory of rings
• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
• STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION