Generators of \(Sp_ n(\)V) over a quasi semilocal semihereditary ring

DOI10.1016/0022-4049(81)90054-2zbMath0461.20030OpenAlexW2027581330MaRDI QIDQ1152460

Hiroyuki Ishibashi

Publication date: 1981

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(81)90054-2

zbMATH Keywords

symplectic grouphyperplanenonsingular symmetric alternating formproduct of transvectionsquasi semilocal semihereditary ring

Mathematics Subject Classification ID

Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (6)

Generation of symplectic groups by transvections over local rings with at least 3 residue classes ⋮ Linear groups over general rings. I: Generalities. ⋮ Width of groups of type \(\mathrm E_6\) with respect to root elements. II. ⋮ Linear groups ⋮ Generators for classical groups of modules over local rings ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I

Cites Work

• The structure of the symplectic groups over semilocal domains
• Generators of a symplectic group over a local valuation domain
• Generators of sp_n(V) over a Quasi se-milocal semihereditary domain
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