Geodesic
Non-Isomorphic Equivalent Azumaya Algebras
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 340-343

Voir la notice de l'article provenant de la source Cambridge University Press

We explicitly describe an infinite collection of pairs of Azumaya algebras over the ring of integers of real quadratic number fields K which are maximal orders in the usual quaternion algebra over K, hence Brauer equivalent, but are not isomorphic. The result follows from an identification of the groups of norm one units, using the classification of Coxeter.
DOI : 10.4153/CMB-1987-048-8
Mots-clés : 16A16, 16A18 
Childs, Lindsay N. Non-Isomorphic Equivalent Azumaya Algebras. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 340-343. doi: 10.4153/CMB-1987-048-8
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