On the structure of \(GL_ 2\) over stable range one rings

DOI10.1016/0022-4049(90)90154-AzbMath0702.20037OpenAlexW2014820632WikidataQ126586987 ScholiaQ126586987MaRDI QIDQ914844

L.N.Vaserstein and E.R.Wheland, Pere Menal

Publication date: 1990

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(90)90154-a

zbMATH Keywords

elementary matricesnormal subgroupscommutative ringquasi-idealsBass's first stable range conditioncommutative \(SR_ 2\)-ringsubgroups of \(GL_ n(R)\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

Linear groups over general rings. I: Generalities. ⋮ On the generators of elementary subgroups of general linear groups ⋮ On generalized stable rings ⋮ Unipotent matrices, modulo elementary matrices, in \(\text{SL}_2\) over a coordinate ring ⋮ Free quotients of congruence subgroups of Bianchi groups

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