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5-reflectionality of anisotropic orthogonal groups over valuation rings

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Publication:1187132
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DOI10.1007/BF02950751zbMath0747.20026MaRDI QIDQ1187132

Frieder Knüppel

Publication date: 28 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)


zbMATH Keywords

orthogonal groupisometry groupvaluation ringsymmetric bilinear formanisotropic formorthogonal mappingproduct of five involutionsproduct of two orthogonal involutions


Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25) Classical groups (11E57)


Related Items (2)

The orthogonal group over a local ring is \(4\)-reflectional ⋮ A comparison of length definitions for maps of modules over local rings



Cites Work

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  • Products of involutions in \(O^ +(V)\)
  • Products of quasireflections and transvections over local rings
  • Bireflectionality in Absolute Geometry


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