A nonvanishing theorem for the cuspidal cohomology of \(SL_ 2\) over imaginary quadratic integers

DOI10.1007/BF01450534zbMath0458.20041MaRDI QIDQ1151457

Joachim Schwermer, Fritz J. Grunewald

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/163587

zbMATH Keywords

arithmetic subgroupsubgroup of finite indexEilenberg-Maclane cohomology group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Cohomology theory for linear algebraic groups (20G10) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (9)

Bounds for eigenforms on arithmetic hyperbolic 3-manifolds ⋮ The euclidean bianchi group ⋮ Hecke operators and \({\mathbb Q}\)-groups associated to self-adjoint homogeneous cones. ⋮ Geometric cycles, arithmetic groups and their cohomology ⋮ Principal Congruence Links: Class Number Greater than 1 ⋮ Algebraic groups ⋮ Congruence Link Complements—A 3-Dimensional Rademacher Conjecture ⋮ Modular symbols for \(\mathbb{Q}\)-rank one groups and Voronoĭ reduction ⋮ Principal congruence link complements

Cites Work

• Some 3-manifolds arising from \(PSL_2(\mathbb{Z} [i)\)]
• A note on link complements and arithmetic groups
• Free non-Abelian quotients of \(SL_ 2\) over orders of imaginary quadratic numberfields
• Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum
• Arithmetic quotients of hyperbolic 3-space, cusp forms and link complements
• Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• Generators and relations for certain special linear groups
• Le problème des groupes de congruence pour \(SL_2\)
• Zur \(\mathrm{SL}_2\) der ganzen Zahlen eines imaginär-quadratischen Zahlkörpers
• Fonctions automorphes et séries de Poincaré
• A quadratic parabolic group
• Stable real cohomology of arithmetic groups
• The structure of certain subgroups of the Picard group
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