On the range of non-vanishing \(p\)-torsion cohomology for \(\text{GL}_n(\mathbb{F}_p)\).

DOI10.1016/j.jalgebra.2004.02.016zbMath1063.20053OpenAlexW1980674898MaRDI QIDQ1882980

Adrian Barbu

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.016

zbMATH Keywords

Hecke algebrasgeneral linear groupscohomology classespunctual actions

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Cohomology theory for linear algebraic groups (20G10)

Related Items (2)

Modular characteristic classes for representations over finite fields ⋮ Nonvanishing cohomology classes on finite groups of Lie type with Coxeter number at most \(p\).

Cites Work

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• The mod p cohomology ring of \(GL_ 3(F_ p)\)
• The cohomology of the \(GL_2\) of a finite field
• Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)
• On a conjecture of Ash
• Invariant theory and \(H^ *(GL_ n({\mathbb{F}}_ p);{\mathbb{F}}_ p)\)
• On the cohomology and K-theory of the general linear groups over a finite field
• The Integral Cohomology Rings of Groups of Order p 3
• Hecke operators in cohomology of groups

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