Absolute stable rank and Witt cancellation for noncommutative rings

DOI10.1007/BF01388785zbMath0639.16015MaRDI QIDQ1100258

Wilberd van der Kallen, Bruce A. Magurn, L.N.Vaserstein and E.R.Wheland

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143553

zbMATH Keywords

orthogonal groupsWitt cancellation\(GL_ n\)absolute stable rangecancellation of quadratic forms

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Linear algebraic groups over adèles and other rings and schemes (20G35) General binary quadratic forms (11E16)

Related Items

Bounded reduction of orthogonal matrices over polynomial rings, Bak's work on theK-theory of rings, Absolute stable rank and quadratic forms over noncommutative rings, Overgroups of classical groups over commutative rings in linear group., Normal subgroups of classical groups over rings, The commutators of classical groups, Linear groups over general rings. I: Generalities., Homological stability for automorphism groups, Normal subgroups of symplectic groups over rings, Embedded surfaces with infinite cyclic knot group, Polar spaces over rings with absolute stable range condition, Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\), Locally free (ℙⁿ)-modules, Homological stability for classical groups, Improved K₁-stability for the embedding D₅ into E₆, Overgroups of $\mathrm{EO}(n,R)$, Generalized stable ranks for commutative Banach algebras, Odd unitary groups., Stably diffeomorphic manifolds and l 2q+1(ℤ[π)], Overgroups of the elementary unitary group in linear group over commutative rings., Homological stability of automorphism groups of quadratic modules and manifolds, The absolute stable rank of \(C(X,\tau )\), Quadratic \(KU_{1}\) of localizations, Decompositions of congruence subgroups of Chevalley groups, Some extensions of Witt's theorem†, Unnamed Item, On the stability of the \(K_1\)-functor for Chevalley groups of type \(E_7\), Two remarks on Wall's D2 problem, Stability for Hermitian \(K_1\), Central stability for the homology of congruence subgroups and the second homology of Torelli groups, Parabolic factorizations of split classical groups

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