Geodesic
Isometries of quadratic spaces
Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1629-1656 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2015_17_7_a3,
     author = {Eva Bayer-Fluckiger},
     title = {Isometries of quadratic spaces},
     journal = {Journal of the European Mathematical Society},
     pages = {1629--1656},
     year = {2015},
     volume = {17},
     number = {7},
     doi = {10.4171/jems/541},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/541/}
}
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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

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