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research article
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.
Type
research article
Web of Science ID
WOS:000360821300004
Authors
Publication date
2015
Publisher
Published in
Volume
17
Issue
7
Start page
1629
End page
1656
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 28, 2015
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