On the normal subgroups of SL(2,A)

DOI10.1016/0022-4049(88)90123-5zbMath0654.20051OpenAlexW2059194809MaRDI QIDQ1108385

Douglas L. Costa, Gordon E. Keller

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90123-5

zbMATH Keywords

elementary matricesnormal subgroupsgroup of unitsupper triangular matricesvon Neumann regular ideal

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

Normal subgroups of 𝑆𝐿(2,𝐴) ⋮ The \(E_ 2(R)\)-normalized subgroups of \(\text{GL}_ 2(R)\) ⋮ The order and level of a subgroup of GL₂ over a Dedekind ring of arithmetic type ⋮ On subgroups of \(GL_ 2\) over Banach algebras and von Neumann regular rings which are normalized by elementary matrices ⋮ On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices ⋮ Linear groups over general rings. I: Generalities. ⋮ Linear groups rich in finite quotients ⋮ Normal subgroups of symplectic groups over rings ⋮ On the structure of \(GL_ 2\) over stable range one rings ⋮ On special congruence subgroups of symplectic groups. ⋮ Unnamed Item ⋮ Strong map-symmetry of SL(3,K) and PSL(3,K) for every finite field K ⋮ On the normal subgroups of GL(2,A)

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