Isometries of quadratic spaces

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.


Published in:
Journal Of The European Mathematical Society, 17, 7, 1629-1656
Year:
2015
Publisher:
Zurich, European Mathematical Soc
ISSN:
1435-9855
Keywords:
Laboratories:




 Record created 2015-09-28, last modified 2018-03-17


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