Subgroups of a spinor group containing a maximal split torus. I

DOI10.1007/BF01097976zbMath0779.20024OpenAlexW2069025101MaRDI QIDQ1179908

Nikolai A. Vavilov

Publication date: 27 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01097976

zbMATH Keywords

rootsnormalizerChevalley groupspinor grouproot subgroupsmaximal split torus

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items

On the lattice of subgroups of chevalley groups containing a split maximal torus

Cites Work

• Subgroups of the special linear group containing the diagonal subgroup
• The root subgroups for maximal tori in finite groups of Lie type
• On subgroups of the special linear group containing the special orthogonal group
• Location of subgroups in the general linear group over a commutative ring
• Subgroups of finite groups of Lie type
• Root groups
• Irreducible subgroups of orthogonal groups generated by groups of root type 1
• Small rank permutation representations of finite Chevalley groups
• Extensions of Chevalley groups
• On parabolic subgroups of Chevalley groups over local rings
• Some subgroups of \(\Omega\)(V) generated by groups of root type
• Groupes reductifs
• Some subgroups of \(\Omega (V)\) generated by groups of root type 1
• Primitive actions and maximal subgroups of Lie groups
• Lectures on Chevalley Groups
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• Subgroups of Classical Groups Generated by Long Root Elements
• On the subgroup structure of classical groups
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