The cohomology of the finite general linear group

DOI10.1016/0022-4049(88)90024-2zbMath0655.20031OpenAlexW1987645958MaRDI QIDQ1109142

Ove Kroll

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90024-2

zbMATH Keywords

cohomologyfinite fieldcohomology classesgeneral linear groupfree exterior algebraQuillen's detection theorem

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Cohomology of groups (20J06) Cohomology theory for linear algebraic groups (20G10)

Related Items (1)

The étale cohomology of the general linear group over a finite field and the Dickson algebra

Cites Work

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• Homology of classical groups over finite fields and their associated infinite loop spaces
• The Adams conjecture
• On the cohomology and K-theory of the general linear groups over a finite field
• The Sylow 2-subgroups of the finite classical groups
• The cohomology of Chevalley groups of exceptional Lie type
• Corrections and Additions to "On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups"
• Invariants of Finite Reflection Groups
• Sylow p-Subgroups of the General Linear Group Over Finite Fields of Characteristic p

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