Computing rational cohomology and Hecke eigenvalues for Bianchi groups

DOI10.1016/0022-314X(92)90004-9zbMath0762.11024MaRDI QIDQ1183274

Alexander Scheutzow

Publication date: 28 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesBianchi groupsdimensionHecke algebrarational cohomologycuspidal cohomologyTaniyama-Weil-Langlands conjecture

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Cohomology theory for linear algebraic groups (20G10) Computational number theory (11Y99) Cohomology of arithmetic groups (11F75)

Related Items (7)

Uniformization of modular elliptic curves via \(p\)-adic periods ⋮ Abelianization of the unit group of an integral group ring ⋮ On level one cuspidal Bianchi modular forms ⋮ Higher torsion in the Abelianization of the full Bianchi groups ⋮ On Ruan's cohomological crepant resolution conjecture for the complexified Bianchi orbifolds ⋮ Arithmetic Aspects of Bianchi Groups ⋮ On an elliptic curve defined over $\mathbb {Q}(\sqrt {-23})$

Cites Work

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• Small-dimensional classifying spaces for arithmetic subgroups of general linear groups
• Rational homology of Bianchi groups
• On automorphic forms on \(\mathrm{GL}_2\) and Hecke operators
• COHOMOLOGY OF DISCRETE GROUPS AND DIRICHLET SERIES CONNECTED WITH JACQUET-LANGLANDS CUSP FORMS
• Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p

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