Net subgroups of Chevalley groups. II: Gauss decomposition

DOI10.1007/BF01410741zbMath0548.20035MaRDI QIDQ799814

Eugene Plotkin, Nikolai A. Vavilov

Publication date: 1984

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

zbMATH Keywords

Chevalley groupreduced root systemGauss decompositionnet of idealssubradical nets

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Geometrical equivalence of groups ⋮ Overgroups of subsystem subgroups in exceptional groups: inside a sandwich ⋮ Linear groups

Cites Work

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• A description of the subgroups of the complete linear group that contain the group of diagonal matrices
• Congruence subgroups of the symplectic group
• Net subgroups of Chevalley groups
• Parabolic subgroups of twisted Chevalley groups over a semilocal ring
• On parabolic subgroups of Chevalley groups over local rings
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Lectures on Chevalley Groups
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• On normal subgroups of Chevalley groups over commutative rings

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