Free quotients of congruence subgroups of \(SL_ 2\) over a coordinate ring

DOI10.1007/BF01183037zbMath0619.20031MaRDI QIDQ1089435

Alexander W. Mason

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173908

zbMATH Keywords

free groupfree productprincipal congruence subgroupstandard subgroupscoordinate ring of affine curvefree quotientsq-elementary matrices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Classical groups (11E57) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (11)

The order and level of a subgroup of GL₂ over a Dedekind ring of arithmetic type ⋮ Linear groups over general rings. I: Generalities. ⋮ OnGL₂of a local ring in which 2 is not a unit II ⋮ Congruence hulls in \(SL_ n\) ⋮ Normal subgroups of \(SL_ 2(k[t)\) with or without free quotients] ⋮ Subnormal subgroups of E_n(R) have no free, non-abelian quotients, when n≧3 ⋮ Unipotent matrices, modulo elementary matrices, in \(\text{SL}_2\) over a coordinate ring ⋮ Free quotients of congruence subgroups of the Serre groups and unipotent matrices ⋮ Free quotients of congruence subgroups of Bianchi groups ⋮ Serre’s generalization of Nagao’s theorem: An elementary approach ⋮ The minimum index of a non-congruence subgroup of \(\text{SL}_2\) over an arithmetic domain

Cites Work

• Unnamed Item
• Unnamed Item
• On some discretely normed rings of functions being not \(GE_ 2\)-rings.
• On the structure of the \(GL_ 2\) of a ring
• 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 \(SL_2\)
• Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall.
• ANOMALOUS NORMAL SUBGROUPS OF SL₂(K[x)]
• Standard subgroups of GL₂(A)
• Free quotients of congruence subgroups of SL₂ over a Dedekind ring of arithmetic type contained in a function field
• On the group S L 2 over orders of arithmetic type.
• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE

This page was built for publication: Free quotients of congruence subgroups of \(SL_ 2\) over a coordinate ring