Farrell cohomology of GL(n,\({\mathbb{Z}})\)

DOI10.1007/BF02764950zbMath0693.20041OpenAlexW1971544428MaRDI QIDQ584412

Avner Ash

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764950

zbMATH Keywords

spectral sequenceideal class groupFarrell cohomology of GL(n,\({\mathbb{Z}})\)

Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) Galois cohomology (11R34)

Related Items (8)

Higher operations in string topology of classifying spaces ⋮ The mod-3 cohomology ofgl(4,Z) andgl(2,Z[ω)] ⋮ Modular characteristic classes for representations over finite fields ⋮ Centralizers of elementary Abelian \(p\)-subgroups and mod-\(p\) cohomology of profinite groups ⋮ Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\) ⋮ On the \(K\)-theory of the classifying space of a discrete group ⋮ On the ring structure of \(K^*\) for discrete groups ⋮ An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\)

Cites Work

• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• The modular symbol and continued fractions in higher dimensions
• The cohomology of \(SL_3(Z)\)
• On the top betti number of subgroups of \(SL(n,Z)\)
• On the Existence of Eutactic Forms
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