Irreducible \(A_1\) subgroups of exceptional algebraic groups

DOI10.1016/J.JALGEBRA.2015.08.026zbMath1366.20032arXiv1501.04858OpenAlexW2717015120MaRDI QIDQ897764

Adam R. Thomas

Publication date: 7 December 2015

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

Full work available at URL: https://arxiv.org/abs/1501.04858

zbMATH Keywords

algebraic groupscomplete reducibility\(A_1\) subgroups\(G\)-irreduciblitlysubgroups structure

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Representation theory for linear algebraic groups (20G05) Exceptional groups (20G41) Structure theory for linear algebraic groups (20G07)

Related Items (8)

Maximal 𝑃𝑆𝐿₂ Subgroups of Exceptional Groups of Lie Type ⋮ Finite subgroups of simple algebraic groups with irreducible centralizers ⋮ The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups ⋮ On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type ⋮ Reducible subgroups of exceptional algebraic groups ⋮ Complete reducibility in good characteristic ⋮ Embeddings of rank-2 tori in algebraic groups ⋮ The Irreducible Subgroups of Exceptional Algebraic Groups

Uses Software

• Magma

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