Unitary groups with excellent S and entire E(u,L)

DOI10.1016/0021-8693(82)90223-XzbMath0481.20028OpenAlexW2023875657MaRDI QIDQ1161823

Hiroyuki Ishibashi

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90223-x

zbMATH Keywords

sesquilinear formsentire set of Eichler transformationsexcellent elementfull ringinvolutory ideal

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Other matrix groups over rings (20H25) Classical groups (algebro-geometric aspects) (14L35) Quadratic and bilinear forms, inner products (15A63) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Small systems of generators of isotropic unitary groups over finite fields of characteristic not two ⋮ Unitary groups over strongly semilocal rings ⋮ Multiplicative and transitive symplectic groups

Cites Work

• Unnamed Item
• Structure of O(V) over full rings
• Unitary groups over local rings
• The orthogonal group over a full ring
• Quadratic forms over semilocal rings
• \(K\)-theory and stable algebra

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