On subgroups of the general linear group that contain a nonsplit maximal torus.

DOI10.1007/s10958-010-0142-4zbMath1215.20044OpenAlexW2022830782MaRDI QIDQ547250

V. A. Koibaev, A. V. Shilov

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0142-4

zbMATH Keywords

general linear groupstransvectionsintermediate subgroupsideal netsnon-split maximal toriovergroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Chains and lattices of subgroups, subnormal subgroups (20E15)

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Cites Work

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• The root subgroups for maximal tori in finite groups of Lie type
• Maximal subgroups of \(PSp_{6n}(q)\) stabilizing spreads of totally isotropic planes
• Subgroups of finite groups of Lie type
• Linear groups containing a Singer cycle
• Spreads and classes of maximal subgroups of \(GL_ n(q), SL_ n(q),PGL_ n(q)\) and \(PSL_ n(q)\)
• Subgroups of Compact Lie Groups Containing a Maximal Torus are Closed