Subgroups of the special linear group containing the diagonal subgroup

DOI10.1016/0021-8693(90)90263-NzbMath0715.20028OpenAlexW1972480124MaRDI QIDQ752185

Oliver H. King

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90263-n

zbMATH Keywords

subgroupsupper triangular matricesspecial linear groupmonomial matricesdiagonal matrices

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Other matrix groups over fields (20H20)

Related Items

On subgroups in the special linear group over a division algebra that contain the subgroup of diagonal matrices ⋮ 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 $\mathrm{EO}(n,R)$ ⋮ Subgroups of a spinor group containing a maximal split torus. I ⋮ Wild nearfields of dimension 2 over rational function fields ⋮ Geometry of 1-tori in $\mathrm {GL}_n$ ⋮ Overgroups of the diagonal group in the hyperbolic unitary group over a simple Artin ring. II. ⋮ Overdiagonal subgroups of the hyperbolic unitary group for a good form ring over a field

Cites Work

• On the maximality of the orthogonal groups in the symplectic groups in characteristic two
• Subgroups of the general symplectic group containing the group of diagonal matrices
• On subgroups of the special linear group containing the special orthogonal group
• On some maximal subgroups of the classical groups