Non-abelian \(K\)-theory for Chevalley groups over rings.

DOI10.1007/s10958-015-2518-yzbMath1331.20059OpenAlexW1169737433MaRDI QIDQ499395

Alexei Stepanov

Publication date: 30 September 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2518-y

zbMATH Keywords

parabolic subgroupslengths of commutatorsChevalley groups over ringscommutator formulasgenerators of elementary groupsrelative local-global principle

Mathematics Subject Classification ID

Whitehead groups and (K_1) (19B99) Commutator calculus (20F12) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

The commutators of classical groups ⋮ Commutators of elementary subgroups: curiouser and curiouser ⋮ Structure of Chevalley groups over rings via universal localization. ⋮ Commutators of relative and unrelative elementary groups, revisited ⋮ The Quotient Unimodular Vector Group is Nilpotent ⋮ Unrelativized standard commutator formula ⋮ Generation of relative commutator subgroups in Chevalley groups. II ⋮ Commutators of relative and unrelative elementary unitary groups

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