Isometries of quadratic spaces
Number Theory
2013-09-11 v2
Abstract
Let k be a field of characteristic not 2, let q be a quadratic space over k and let f be an irreducible polynomial with coefficients in k. In 1969, Milnor raised the following question : how can we decide whether q has an isometry with minimal polynomial f ? We give an answer to this question in the case of global fields. A more general version of the question is also considered.
Cite
@article{arxiv.1305.4906,
title = {Isometries of quadratic spaces},
author = {Eva Bayer-Fluckiger},
journal= {arXiv preprint arXiv:1305.4906},
year = {2013}
}
Comments
To appear in the Journal of the European Mathematical Society (JEMS)