On the \(1\)-cohomology of finite groups of Lie type

DOI10.1006/jabr.1996.6859zbMath0876.20027OpenAlexW2014688835WikidataQ115396051 ScholiaQ115396051MaRDI QIDQ1355541

Michael F. Dowd

Publication date: 23 September 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6859

zbMATH Keywords

Chevalley groupssimply connected algebraic groupshighest weightsLie type groupsisomorphisms of cohomology

Mathematics Subject Classification ID

Cohomology of groups (20J06) Cohomology theory for linear algebraic groups (20G10)

Cites Work

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• Extensions of simple modules for finite Chevalley groups
• Rational and generic cohomology
• Projective modules for \(SL(2,2^n)\)
• Lie algebras and the Tannaka duality theorem
• Extensions of Simple Modules for Sp₄ (2 ⁿ ) and Suz(2 ^m )
• Generic Cohomology for Twisted Groups
• Extensions of Simple Modules for SL₃ (2 ⁿ ) and SU₃ (2 ⁿ )
• On the 1-Cohomology of the Groups

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