Maximal subgroups of \(GL_{2n}(K), SL_{2n}(K), PGL_{2n}(K)\) and \(PSL_{2n}(K)\) associated with symplectic polarities

DOI10.1016/0021-8693(80)90110-6zbMath0444.20036OpenAlexW1998926321MaRDI QIDQ1144660

Roger H. Dye

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90110-6

zbMATH Keywords

maximal subgroupgeometry of classical groupsymplectic polarities

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Maximal subgroups (20E28) Classical groups (algebro-geometric aspects) (14L35)

Related Items (15)

Maximal subgroups of symplectic groups stabilizing spreads ⋮ Linear groups containing a root subgroup ⋮ Overgroups of elementary symplectic groups ⋮ Overgroups of exterior powers of an elementary group. levels ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ Unnamed Item ⋮ Nonassociative rings ⋮ Unnamed Item ⋮ Overgroups of a unitary group in \(GL(2,K)\) ⋮ Linear groups ⋮ Finite groups ⋮ Overgroups of $\text {\rm F}_4$ in $\text {\rm E}_6$ over commutative rings ⋮ Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines ⋮ On subgroups of the special linear group containing the special orthogonal group

Cites Work

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• On the subgroups of the group \(PSL_4(2^m)\)
• Subgroups of Classical Groups Generated by Long Root Elements
• Symmetric Groups as Maximal Subgroups of Orthogonal and Symplectic Groups over the Field of Two Elements
• The Subgroups of PSL(3, q) for odd q
• Endliche Gruppen I

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