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

DOI10.1007/BF00149370zbMath0579.20040OpenAlexW1968363362MaRDI QIDQ1067011

Oliver H. King

Publication date: 1985

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00149370

zbMATH Keywords

vector space\(SL_ n\)Witt indexgeneral unitary groupsnon-degenerate hermitian form

Mathematics Subject Classification ID

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

Related Items (14)

Linear groups containing a root subgroup ⋮ Overgroups of classical groups in linear group over Banach algebras. ⋮ Linear groups generated by two long root subgroups ⋮ Overgroups of classical groups over commutative rings in linear group. ⋮ Overgroups of elementary symplectic groups ⋮ Overgroups of exterior powers of an elementary group. levels ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ Unnamed Item ⋮ Overgroups of the elementary unitary group in linear group over commutative rings. ⋮ Overgroups of a unitary group in \(GL(2,K)\) ⋮ On subgroups of the group \(GL_7\) over a field that contain a Chevalley group of type \(G_2\) over a subfield. ⋮ Overgroups of $\text {\rm F}_4$ in $\text {\rm E}_6$ over commutative rings ⋮ On Linear Groups of Degree 2nContaining a Representation of the Special Linear Group of Degreen ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines

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