Parabolic subgroups of Chevalley groups over a semilocal ring

DOI10.1007/BF01089086zbMath0612.20028OpenAlexW2084531719MaRDI QIDQ1088000

Nikolai A. Vavilov

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01089086

zbMATH Keywords

Chevalley groupmaximal torusparabolic subgroupcommutative semilocal ringChevalley-Demazure group schemeparabolic carpet of ideals

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (10)

A property of root systems ⋮ On the description of overgroups of \(E(m,R)\otimes E(n,R)\). ⋮ Decomposition of transvections for automorphisms. ⋮ Unnamed Item ⋮ Subgroups of split orthogonal groups ⋮ Subgroups of split orthogonal groups over a ring ⋮ Overgroups of subsystem subgroups in exceptional groups: levels. ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings ⋮ Subgroups of symplectic groups that contain a subsystem subgroup.

Cites Work

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• Parabolic congruence subgroups in linear groups
• On parabolic subgroups of Chevalley groups over local rings
• Chevalley groups over local rings
• On normal subgroups of Chevalley groups over commutative rings

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