Quadratic Forms over Dedekind Domains
The rest of the book is devoted to a study of the equivalence of quadratic forms over the integers of local and global fields. Our first purpose in the present chapter is to state the nature of this problem in modern terminology and in the general setting of an arbitrary Dedekind domain. Our second purpose is to develop some technique in this general situation. The more interesting results must wait until we specialize to the fields of number theory.
KeywordsQuadratic Form Vector Space Versus Invariant Factor Symmetric Bilinear Form Chapter VIII
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