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Isometries of quadratic spaces

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Eva Bayer Fluckiger
2015

Résumé

Let k be a global field of characteristic not 2, and let f is an element of 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.

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https://infoscience.epfl.ch/entities/publication/e2cfddd6-8c20-4dcb-82be-d4917a5fbea9

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