Bruhat decomposition for subgroups containing the group of diagonal matrices. II

DOI10.1007/BF01410740zbMath0548.20033OpenAlexW4233244173MaRDI QIDQ799811

Nikolai A. Vavilov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01410740

zbMATH Keywords

Jacobson radicalgeneral linear groupdiagonal subgroupcarpet subgroupcarpet of ideals

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (1)

Classification of all connected subgroup schemes of a reductive group containing a split maximal torus

Cites Work

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• Bruhat decomposition for subgroups containing the group of diagonal matrices
• Subgroups of the general symplectic group containing the group of diagonal matrices
• Subgroups of finite groups of Lie type
• A description of the subgroups of the complete linear group that contain the group of diagonal matrices
• Some groups generated by transvections

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