Standard subgroups of GL2(A)

DOI10.1017/S0013091500026730zbMath0608.20034MaRDI QIDQ3748479

Alexander W. Mason

Publication date: 1987

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

elementary matricesstandard subgroupsDedekind ring of arithmetic typealmost-normal subgroupsnonstandard subgroups

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

Free quotients of congruence subgroups of \(SL_ 2\) over a coordinate ring ⋮ 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 ⋮ Linear groups over general rings. I: Generalities. ⋮ Non-normal, standard subgroups of the Bianchi groups ⋮ Normal subgroups of \(SL_ 2(k[t)\) with or without free quotients] ⋮ Free quotients of congruence subgroups of Bianchi groups

Cites Work

• On subgroups of GL(n,A) which are generated by commutators
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Le problème des groupes de congruence pour \(SL_2\)
• Lineare Gruppen Uber Lokalen Ringen
• Anamalous normal subgroups of the modular group
• ANOMALOUS NORMAL SUBGROUPS OF SL₂(K[x)]
• A Complete Description of the Normal Subgroups of Genus One of the Modular Group

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