The Mod-2 cohomology of the Bianchi groups

DOI10.1090/S0002-9947-00-02505-8zbMath1010.20031MaRDI QIDQ4501118

Ethan Berkove

Publication date: 3 September 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cohomology ringsBianchi groupsgroup cohomology

Mathematics Subject Classification ID

Cohomology of groups (20J06) Discrete subgroups of Lie groups (22E40) Cohomology theory for linear algebraic groups (20G10) Cohomology of arithmetic groups (11F75)

Related Items

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 ⋮ The integral cohomology of the Bianchi groups ⋮ Resolutions for unit groups of orders ⋮ The homological torsion of PSL$_2$ of the imaginary quadratic integers ⋮ On the cohomology of linear groups over imaginary quadratic fields

Cites Work

• The integral homology of \(SL_ 2\) and \(PSL_ 2\) of Euclidean imaginary quadratic integers
• Rational homology of Bianchi groups
• Homology of \(\mathrm{SL}_2(\mathbb Z[\omega)\)]
• Zur Struktur der \(\mathrm{PSL}_2 \) über einigen imaginär-quadratischen Zahlringen
• Generators and relations for certain special linear groups
• On the \(K\)-theory of Bianchi groups
• Subgroups of Bianchi Groups and Arithmetic Quotients of Hyperbolic 3-Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item