The reductive subgroups of $F_4$

DOI10.1090/S0065-9266-2012-00668-XzbMath1295.20049MaRDI QIDQ4979152

David I. Stewart

Publication date: 17 June 2014

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

parabolic subgroupsconjugacy classes of subgroupsembeddingsLevi subgroupsreductive subgroupsexceptional groupsprime characteristicsubgroup structureirreducible subgroupssimple subgroupsmaximal closed connected subgroupscompletely reducible subgroupsclosed connected semisimple subgroupsalgebraic groups of exceptional type

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Exceptional groups (20G41)

Related Items (15)

On a question of Külshammer for representations of finite groups in reductive groups ⋮ Reduction theorems for triples of short root subgroups in Chevalley groups ⋮ The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups ⋮ On a question of Külshammer for homomorphisms of algebraic groups ⋮ Irreducible \(A_1\) subgroups of exceptional algebraic groups ⋮ On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type ⋮ Simple irreducible subgroups of exceptional algebraic groups. ⋮ Reducible subgroups of exceptional algebraic groups ⋮ Complete reducibility in good characteristic ⋮ On Non-Generic Finite Subgroups of Exceptional Algebraic Groups ⋮ Overgroups of regular unipotent elements in simple algebraic groups ⋮ Embeddings of rank-2 tori in algebraic groups ⋮ Rational subgroups and invariants of \(F_4\) ⋮ Subsystem subgroups of the group of type $\mathrm {F}_4$ generated by short root subgroups ⋮ Orbit closures and invariants

Cites Work

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• Homomorphismes abstraits de groupes algébriques simples
• An introduction to homological algebra
• The 2-spaces of the standard \(E_ 6(q)\)-module
• Rational and generic cohomology
• On tilting modules for algebraic groups
• Subgroups generated by root elements in groups of Lie type
• A geometric approach to complete reducibility.
• Closed orbits and uniform $S$-instability in geometric invariant theory
• Fully Reducible Subgroups of Algebraic Groups
• The reductive subgroups of G 2
• The maximal subgroups of classical algebraic groups
• On orbits of algebraic groups and Lie groups
• The Projective Indecomposable Modules of SL(2, p ⁿ )
• Affine Coset Spaces of Reductive Algebraic Groups
• On the subgroup structure of exceptional groups of Lie type
• Dimensional Criteria for Semisimplicity of Representations
• The maximal subgroups of positive dimension in exceptional algebraic groups
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• Reductive subgroups of exceptional algebraic groups
• The Second Cohomology of SimpleSL₃-Modules
• The second cohomology of simple $SL_2$-modules
• On the structure of parabolic subgroups

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