Normality and \(K_1\)-stability of Roy's elementary orthogonal group
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Publication:2512731
DOI10.1016/j.jalgebra.2014.07.036zbMath1310.19003arXiv1401.0822OpenAlexW2963635287MaRDI QIDQ2512731
Publication date: 30 January 2015
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.0822
Other matrix groups over rings (20H25) Whitehead groups and (K_1) (19B99) Stable range conditions (19B10) (K)-theory of forms (19G99) Stability for quadratic modules (19G05)
Related Items (6)
Comparison of Petrov’s odd elementary hyperbolic unitary group and Dickson-Siegel-Eichler-Roy elementary orthogonal group ⋮ Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring ⋮ Yoga of commutators in DSER elementary orthogonal group ⋮ Normality and \(K_1\)-stability of Roy's elementary orthogonal group ⋮ Normality of DSER elementary orthogonal group ⋮ Injective stability for odd-dimensional unitary \(K_1\)
Cites Work
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- Witt's theorem for noncommutative semilocal rings
- Hermitian groups and \(K\)-theory
- Stability for quadratic \(K_1\)
- Stability for Hermitian \(K_1\)
- Yoga of commutators in DSER elementary orthogonal group
- Stability for odd unitary \(K_1\) under the \(\varLambda\)-stable range condition
- Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring
- Normality and \(K_1\)-stability of Roy's elementary orthogonal group
- Cancellation of quadrate forms over commutative rings
- Isometrien über semilokalen Ringen
- Stable rank of rings and dimensionality of topological spaces
- Elementary subgroups of isotropic reductive groups
- Injective stability for unitary K1, revisited
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