On the orthogonal group over an LG-ring

DOI10.1080/00927879108824148zbMath0738.20049OpenAlexW2142251728MaRDI QIDQ3971430

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Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879108824148

zbMATH Keywords

orthogonal groupgeneratorscommutator subgroupsemilocal ringquadratic spacevon Neumann regularLG-ring

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear algebraic groups over adèles and other rings and schemes (20G35) Local rings and semilocal rings (13H99)

Related Items (2)

On Transversality for Quadratic Spaces Over Rings with Many Units ⋮ Unitary groups over strongly semilocal rings

Cites Work

• Structure of O(V) over full rings
• Module equivalences: Local to global. When primitive polynomials represent units
• The orthogonal group over a full ring
• On the Structure of Orthogonal Groups Over Local Rings

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