Power residue symbols and the central sections of \(\text{SL}(2,A)\)

DOI10.1023/A:1007710220868zbMath0921.20048OpenAlexW2094876599MaRDI QIDQ1273634

Douglas L. Costa, Gordon E. Keller

Publication date: 9 August 1999

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007710220868

zbMATH Keywords

elementary matricesnormal subgroupscongruence groupsJordan idealsHilbert symbolsMennicke symbolspower residue symbolsnormal subgroup structureradices\(A\)-ideals\(SR_2\)-ringsarithmetic Dedekind domainslinear algebraic groups over commutative rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (4)

Linear groups over general rings. I: Generalities. ⋮ Symplectic commutator subgroups. ⋮ Standardness and standard automorphisms of Chevalley groups. I: The case of rank at least two. ⋮ Commutators of congruence subgroups in the arithmetic case

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