The order and level of a subgroup of GL2 over a Dedekind ring of arithmetic type

DOI10.1017/S0308210500014773zbMath0735.20025MaRDI QIDQ3984116

Alexander W. Mason

Publication date: 27 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

function fieldelementary matricesnormal subgroupsordernumber fieldlevelDedekind ring of arithmetic typesubgroups of \(GL_ 2\)infinitely many units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Genuine non-congruence subgroups of Drinfeld modular groups ⋮ Linear groups over general rings. I: Generalities. ⋮ Congruence hulls in \(SL_ n\)

Cites Work

• The Schur multiplicator of SL(2,Z/mZ) and the congruence subgroup property
• Normal subgroups of the general linear groups over Banach algebras
• Free quotients of congruence subgroups of \(SL_ 2\) over a coordinate ring
• On the normal subgroups of SL(2,A)
• 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
• On GL₂ of a Local Ring in Which 2 is Not a Unit
• Standard subgroups of GL₂(A)
• Non-Standard, Normal Subgroups and Non-Normal, Standard Subgroups of the Modular Group
• OnGL₂of a local ring in which 2 is not a unit II
• On the group S L 2 over orders of arithmetic type.
• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE
• Classification of Normal Congruence Subgroups of the Modular Group
• Two-Dimensional Linear Groups Over Local Rings

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