Overgroups of SU(n,K,f) or \(\Omega\) (n,K,Q) in GL(n,K)

DOI10.1007/BF00181331zbMath0694.20031OpenAlexW2003779624MaRDI QIDQ909036

Shang-Zhi Li

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00181331

zbMATH Keywords

orthogonal groupsunitary grouptransvectionsdivision ring with involution

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25)

Related Items (13)

Overgroups of symplectic group in linear group over commutative rings. ⋮ Overgroups of classical groups in linear group over Banach algebras. ⋮ 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 orthogonal groups of isotropic quadratic forms. ⋮ 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 ⋮ Linear groups of degree 3 over a field that contain a one-parametric group of elements with minimal polynomial (x−1)3

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