Zur \(\mathrm{SL}_2\) der ganzen Zahlen eines imaginär-quadratischen Zahlkörpers

DOI10.1007/BF01418852zbMath0254.10019OpenAlexW2353448829MaRDI QIDQ2558322

Rainer Zimmert

Publication date: 1973

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142188

zbMATH Keywords

imaginary quadratic fieldspecial linear groupring of integersfree quotient of the Bianchi group

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Linear algebraic groups over global fields and their integers (20G30) Other matrix groups over rings (20H25)

Related Items

COMMENSURABILITY CLASSES OF ARITHMETIC LINK COMPLEMENTS, Almost all Bianchi groups have free, non-cyclic quotients, Almost all Bianchi groups have free, non-cyclic quotients, Linear groups over general rings. I: Generalities., Some remarks on discrete subgroups of \(SL_ 2({\mathbb{C}})\), Free quotients of congruence subgroups of SL₂ over a Dedekind ring of arithmetic type contained in a function field, Free quotients of subgroups of the Bianchi groups whose kernels contain many elementary matrices, A nonvanishing theorem for the cuspidal cohomology of \(SL_ 2\) over imaginary quadratic integers, Free non-Abelian quotients of \(SL_ 2\) over orders of imaginary quadratic numberfields, Non-normal, standard subgroups of the Bianchi groups, \(SL_ 2\) over complex quadratic number fields. I, Free quotients and the congruence kernel of \(SL_ 2\)., Algebraic groups, Linear groups, Zur Bestimmung der linearen Charaktere symplektischer Hauptkongruenzgruppen, Some Amalgam Structures for Bianchi Groups, Multiplier systems and characters for Hermitian modular groups, Arithmetic Aspects of Bianchi Groups, On the cuspidal cohomology of the Bianchi modular groups, Rational homology of Bianchi groups, Free quotients of congruence subgroups of Bianchi groups

Cites Work

• Generators and relations for certain special linear groups
• Le problème des groupes de congruence pour \(SL_2\)