Hermitian groups and \(K\)-theory
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Publication:1383427
DOI10.1023/A:1007725531627zbMath0899.19003OpenAlexW1981730041MaRDI QIDQ1383427
Publication date: 28 October 1998
Published in: \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1007725531627
Whitehead groups and (K_1) (19B99) Hermitian (K)-theory, relations with (K)-theory of rings (19G38) Steinberg groups and (K_2) (19C99)
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The commutators of classical groups ⋮ Linear groups over general rings. I: Generalities. ⋮ Local-global principle for the general quadratic and general Hermitian groups and the nilpotency of \(\mathrm{KH}_1\) ⋮ Visualization for Petrov's odd unitary group ⋮ Prestability for quadratic \(K_1\) of \(\Lambda\)-1-fold stable rings ⋮ Comparison of Petrov’s odd elementary hyperbolic unitary group and Dickson-Siegel-Eichler-Roy elementary orthogonal group ⋮ Quantum public-key cryptosystem ⋮ Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring ⋮ Groups normalized by the odd unitary group ⋮ Odd unitary groups. ⋮ Yoga of commutators in DSER elementary orthogonal group ⋮ Injective stability for unitary K1, revisited ⋮ Quadratic \(KU_{1}\) of localizations ⋮ Normality and \(K_1\)-stability of Roy's elementary orthogonal group ⋮ Normality of DSER elementary orthogonal group ⋮ The E-normal structure of Petrov’s odd unitary groups over commutative rings ⋮ Stability for Hermitian \(K_1\) ⋮ Unitary Steinberg group is centrally closed ⋮ Dimension theory and nonstable K-theory for net groups ⋮ Another presentation for symplectic Steinberg groups ⋮ Commutators of relative and unrelative elementary unitary groups ⋮ Multiple commutator formulas for unitary groups
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