Higher torsion in the Abelianization of the full Bianchi groups

DOI10.1112/S1461157013000168zbMath1328.11057arXiv1207.7133OpenAlexW3098677495MaRDI QIDQ5169606

Alexander D. Rahm

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.7133

zbMATH Keywords

torsionhomologyquadratic number fieldBianchi group

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Cohomology of arithmetic groups (11F75)

Related Items (8)

On the convergence of arithmetic orbifolds ⋮ The mod 2 cohomology rings of \(\mathrm{SL}_2\) of the imaginary quadratic integers. With an appendix by Aurel Page ⋮ Accessing the cohomology of discrete groups above their virtual cohomological dimension ⋮ Genuine Bianchi modular forms of higher level at varying weight and discriminant ⋮ Bianchi's additional symmetries ⋮ On the equivariant \(K\)-homology of \(\mathrm{PSL}_2\) of the imaginary quadratic integers ⋮ On Ruan's cohomological crepant resolution conjecture for the complexified Bianchi orbifolds ⋮ Arithmetic Aspects of Bianchi Groups

Cites Work

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• Computing rational cohomology and Hecke eigenvalues for Bianchi groups
• Generators and relations for certain special linear groups
• Le problème des groupes de congruence pour \(SL_2\)
• The homological torsion of PSL$_2$ of the imaginary quadratic integers
• On the Integral Cohomology of Bianchi Groups
• On level one cuspidal Bianchi modular forms
• Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes

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