Dimension theory and nonstable \(K_{1}\) of quadratic modules
From MaRDI portal
Publication:1811044
DOI10.1023/A:1022623004336zbMath1020.19001MaRDI QIDQ1811044
Publication date: 9 June 2003
Published in: \(K\)-Theory (Search for Journal in Brave)
Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over adèles and other rings and schemes (20G35) Stability for linear groups (19B14)
Related Items
Subnormal structure of non-stable unitary groups over rings. ⋮ Relative centralizers of relative subgroups ⋮ 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 \(\mathrm{KH}_1\) ⋮ Overgroups of elementary symplectic groups ⋮ Multiple commutator formulas. ⋮ Injective stability for odd unitary \(K_1\) ⋮ Commutators of elementary subgroups: curiouser and curiouser ⋮ Structure of Chevalley groups over rings via universal localization. ⋮ Relative commutator calculus in Chevalley groups. ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ AN A3-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E6 AND E7 ⋮ Groups normalized by the odd unitary group ⋮ Calculations in exceptional groups over rings. ⋮ Relative unitary commutator calculus, and applications. ⋮ Odd unitary groups. ⋮ Non-abelian \(K\)-theory for Chevalley groups over rings. ⋮ A note on general quadratic groups ⋮ The E-normal structure of odd dimensional unitary groups ⋮ On the length of commutators in Chevalley groups. ⋮ Standard commutator formula, revisited. ⋮ Yoga of commutators in DSER elementary orthogonal group ⋮ The yoga of commutators: further applications. ⋮ The yoga of commutators. ⋮ Injective stability for unitary K1, revisited ⋮ Relative subgroups in Chevalley groups ⋮ Nilpotency of Odd Unitary K1-Functor ⋮ Stable sandwich classification theorem for classical-like groups ⋮ Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian ⋮ $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$ ⋮ Overgroups of $\text {\rm F}_4$ in $\text {\rm E}_6$ over commutative rings ⋮ Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers ⋮ Unitary Steinberg group is centrally closed ⋮ Dimension theory and nonstable K-theory for net groups ⋮ Basic reductions in the description of normal subgroups. ⋮ Subgroups of symplectic groups that contain a subsystem subgroup. ⋮ Another presentation for symplectic Steinberg groups ⋮ Structure of Hyperbolic Unitary Groups II: Classification of E-Normal Subgroups ⋮ Subring subgroups of symplectic groups in characteristic 2 ⋮ Commutators of relative and unrelative elementary unitary groups ⋮ Multiple commutator formulas for unitary groups
This page was built for publication: Dimension theory and nonstable \(K_{1}\) of quadratic modules