On the geometry of unitary groups

DOI10.1016/0021-8693(80)90088-5zbMath0428.14023OpenAlexW2130267360MaRDI QIDQ1137085

Donald G. James, B. Yu. Weisfeiler

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)90088-5

zbMATH Keywords

unitary groupfull subgroupsk-torus

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Classical groups (algebro-geometric aspects) (14L35) Other algebraic groups (geometric aspects) (14L40)

Related Items (9)

The isomorphisms of orthogonal groups over local rings ⋮ Monomorphisms between subgroups of groups of type \(G_ 2\). ⋮ Abstract isomorphisms of simple algebraic groups split by quadratic extensions ⋮ Projective geometry over rings with stable range condition ⋮ Linear groups ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Geometry of 1-tori in $\mathrm {GL}_n$ ⋮ Abstract homomorphisms of algebraic groups: problems and bibliography ⋮ Projection geometry over rings

Cites Work

• Homomorphismes abstraits de groupes algébriques simples
• Toroidal embeddings. I
• Monomorphisms between subgroups of groups of type \(G_ 2\).
• The isomorphisms of unitary groups over noncommutative domains
• On abstract monomorphisms of \(k\)-forms of \(\text{PGL}(2)\)
• The isomorphisms of certain subgroups of the isometry groups of reflexive spaces
• Groupes reductifs
• Rationality properties of linear algebraic groups. II
• Structure of Witt Rings and Quotients of Abelian Group Rings
• The Automorphisms of the Unitary Groups Over Infinite Fields
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