OnGL2of a local ring in which 2 is not a unit II

DOI10.1080/00927878908823743zbMath0663.20048OpenAlexW2081961703MaRDI QIDQ3812455

Alexander W. Mason

Publication date: 1989

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878908823743

zbMATH Keywords

orderlocal ringlevelquasi-idealsL-idealssubgroups normalized by elementary matrices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (5)

The order and level of a subgroup of GL₂ over a Dedekind ring of arithmetic type ⋮ On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices ⋮ Linear groups over general rings. I: Generalities. ⋮ On the structure of \(GL_ 2\) over stable range one rings ⋮ Congruence hulls in \(SL_ n\)

Cites Work

• Free quotients of congruence subgroups of \(SL_ 2\) over a coordinate ring
• On subgroups of GL(n,A) which are generated by commutators
• Lineare Gruppen Uber Lokalen Ringen
• Sur Les Sous-Groupes Normaux De SL₂ Sur Un Anneau Local
• ANOMALOUS NORMAL SUBGROUPS OF SL₂(K[x)]
• On GL₂ of a Local Ring in Which 2 is Not a Unit
• Free quotients of congruence subgroups of SL₂ over a Dedekind ring of arithmetic type contained in a function field
• Gl₂of rings with many units
• Classification of Normal Congruence Subgroups of the Modular Group
• Two-Dimensional Linear Groups Over Local Rings

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