First cohomology groups of Chevalley groups in cross characteristic.

DOI10.4007/annals.2011.174.1.16zbMath1237.20039OpenAlexW2121765126MaRDI QIDQ640794

Robert M. Guralnick, Pham Hũ'u Tiêp

Publication date: 20 October 2011

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2011.174.1.16

zbMATH Keywords

cohomology groupsirreducible modulesgroups of Lie typecohomology of Chevalley groupscross characteristic

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Cohomology of groups (20J06) Representations of finite groups of Lie type (20C33) Cohomology theory for linear algebraic groups (20G10)

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Coprime subdegrees for primitive permutation groups and completely reducible linear groups., Sectional rank and cohomology, Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings, Bounding Ext for modules for algebraic groups, finite groups and quantum groups., Some remarks on maximal subgroups of finite classical groups, Computing individual Kazhdan-Lusztig basis elements., On the cohomology of \(p\)-solvable groups, First cohomology groups for finite groups of Lie type in defining characteristic, First cohomology for finite groups of Lie type: Simple modules with small dominant weights, The permutation module on flag varieties in cross characteristic, Bounds on the dimension of \(\mathrm{Ext}\) for finite groups of Lie type, Computation of Kazhdan-Lusztig polynomials and some applications to finite groups, Cohomology of \(\mathrm{PSL}_2(q)\), Bounding the Dimensions of Rational Cohomology Groups, Bounding cohomology for finite groups and Frobenius kernels.

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