Root groups

DOI10.1016/0021-8693(82)90247-2zbMath0496.20032OpenAlexW4206594112MaRDI QIDQ1170358

S. Singh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90247-2

zbMATH Keywords

root systemChevalley groupsemisimple Lie algebraBorel subgroupmaximal toruspositive rootsfaithful representationconnected nilpotent subgroup

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05)

Related Items

Extraction of small rank unipotent elements in \(\operatorname{GL}(4, K)\), Subgroups of a spinor group containing a maximal split torus. I, Weakly closed unipotent subgroups in Chevalley groups.

Cites Work

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• Minimal elements of \(\text{И}(H;p)\) and conjugacy of Levi complements in finite Chevalley groups.
• Small rank permutation representations of finite Chevalley groups
• Schémas en groupes réductifs