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Octonion Algebras over Rings are not Determined by their Norms

Open Access article
 Printed: Jun 2014
  • Philippe Gille,
    UMR 8552 du CNRS, DMA, Ecole Normale Supérieure, F-75005 Paris, France
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Answering a question of H. Petersson, we provide a class of examples of pair of octonion algebras over a ring having isometric norms.
Keywords: octonion algebras, torsors, descent octonion algebras, torsors, descent
MSC Classifications: 14L24, 20G41 show english descriptions Geometric invariant theory [See also 13A50]
Exceptional groups
14L24 - Geometric invariant theory [See also 13A50]
20G41 - Exceptional groups

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