On the top betti number of subgroups of \(SL(n,Z)\)

DOI10.1007/BF01459124zbMath0505.20035OpenAlexW1968979175MaRDI QIDQ1835987

Avner Ash

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163787

zbMATH Keywords

virtual cohomological dimensioncongruence subgrouprational homologyBetti numbervanishing

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Modular and automorphic functions (11F03) Cohomology theory for linear algebraic groups (20G10)

Related Items (4)

On a generalization of the double coset formula ⋮ The Steinberg module and the cohomology of arithmetic groups ⋮ Farrell cohomology of GL(n,\({\mathbb{Z}})\) ⋮ Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\)

Cites Work

• The modular symbol and continued fractions in higher dimensions
• Cohomology of congruence subgroups of \(SL(n,Z)\)
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• On the homology and cohomology of congruence subgroups

This page was built for publication: On the top betti number of subgroups of \(SL(n,Z)\)