Dimension theory and nonstable K-theory for net groups

zbMath1072.19001MaRDI QIDQ2568686

Alexei Stepanov, Anthony Bak

Publication date: 19 October 2005

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2001__106__207_0

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) (K_1) of group rings and orders (19B28) Linear algebraic groups over adèles and other rings and schemes (20G35) Stability for linear groups (19B14)

Related Items (13)

The commutators of classical groups ⋮ Overgroups of elementary block diagonal subgroups in even unitary groups over quasi-finite rings: main results ⋮ Linear groups over general rings. I: Generalities. ⋮ Overgroups of elementary symplectic groups ⋮ Structure of Chevalley groups over rings via universal localization. ⋮ Commutators of congruence subgroups in the arithmetic case ⋮ Relative commutator calculus in Chevalley groups. ⋮ Relative unitary commutator calculus, and applications. ⋮ Non-abelian \(K\)-theory for Chevalley groups over rings. ⋮ On the length of commutators in Chevalley groups. ⋮ The yoga of commutators: further applications. ⋮ Overgroups of elementary block-diagonal subgroups in the classical symplectic group over an arbitrary commutative ring ⋮ Subgroups of symplectic groups that contain a subsystem subgroup.

Cites Work

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• Location of subgroups normalized by a given subgroup
• Hermitian groups and \(K\)-theory
• Dimension theory and nonstable \(K_1\)
• Dimension theory and nonstable \(K_{1}\) of quadratic modules
• Induction for finite groups revisited
• On subgroups of the general linear groupGL_n(R) over an associative ringR
• Subgroups of the full linear group over a ring which contain a group of block triangular matrices
• K-Theory of Forms. (AM-98)
• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
• Introduction to Algebraic K-Theory. (AM-72)
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