On subgroups of the special linear group containing the special orthogonal group

DOI10.1016/0021-8693(85)90045-6zbMath0572.20028OpenAlexW2089950455MaRDI QIDQ1062145

Oliver H. King

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90045-6

zbMATH Keywords

orthogonal groupnormalizerspecial linear groupmaximal subgroupWitt index

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28)

Related Items

Overgroups of classical groups in linear group over Banach algebras., Overgroups of classical groups over commutative rings in linear group., Subgroups of split orthogonal groups, Overgroups of elementary symplectic groups, Overgroups of exterior powers of an elementary group. levels, On the lattice of subgroups of chevalley groups containing a split maximal torus, Overgroups of $\mathrm{EO}(n,R)$, Unnamed Item, Subgroups of a spinor group containing a maximal split torus. I, Wild nearfields of dimension 2 over rational function fields, Overgroups of the elementary unitary group in linear group over commutative rings., Overgroups of a unitary group in \(GL(2,K)\), On linear groups containing the commutator subgroup of an orthogonal group of index greater than 1, On subgroups of orthogonal groups of isotropic quadratic forms., A 3-local characterization of \(Co_2\)., Overgroups of $\text {\rm F}_4$ in $\text {\rm E}_6$ over commutative rings, Subgroups of the special linear group containing the diagonal subgroup, Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I, SOLUBLE MAXIMAL SUBGROUPS IN GL_n(D), Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the maximality of the orthogonal groups in the symplectic groups in characteristic two
• Maximal subgroups of \(GL_{2n}(K), SL_{2n}(K), PGL_{2n}(K)\) and \(PSL_{2n}(K)\) associated with symplectic polarities
• Maximal subgroups of the classical groups associated with non-isotropic subspaces of a vector space
• Collineation groups generated by homologies of order greater than 2
• Some subgroups of \(SI_ n(F_2)\)
• Birationale Transformation von linearen Scharen auf algebraischen Mannigfaltigkeiten