Geodesic
Isometries of quadratic spaces
Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1629-1656.

Voir la notice de l'article provenant de la source EMS Press

Let k be a global field of characteristic not 2, and let f∈k[X] be an irreducible polynomial. We show that a non-degenerate quadratic space has an isometry with minimal polynomial f if and only if such an isometry exists over all the completions of k. This gives a partial answer to a question of Milnor.
DOI : 10.4171/jems/541
Classification : 11-XX
Keywords: Quadratic space, isometry, orthogonal group, minimal polynomial 
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     author = {Eva Bayer-Fluckiger},
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Eva Bayer-Fluckiger. Isometries of quadratic spaces. Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1629-1656. doi : 10.4171/jems/541. http://geodesic.mathdoc.fr/articles/10.4171/jems/541/

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