Geodesic
Octonion Algebras over Rings Are Not Determined by their Norms
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 303-309

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DOI

Answering a question of H. Petersson, we provide a class of examples of a pair of octonion algebras over a ring having isometric norms.
DOI : 10.4153/CMB-2012-044-7
Mots-clés : 14L24, 20G41, Octonion algebras, torsors, descent 
Gille, Philippe. Octonion Algebras over Rings Are Not Determined by their Norms. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 303-309. doi: 10.4153/CMB-2012-044-7
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     author = {Gille, Philippe},
     title = {Octonion {Algebras} over {Rings} {Are} {Not} {Determined} by their {Norms}},
     journal = {Canadian mathematical bulletin},
     pages = {303--309},
     year = {2014},
     volume = {57},
     number = {2},
     doi = {10.4153/CMB-2012-044-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-044-7/}
}
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