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Quadratic Forms over Dedekind Domains

  • O. Timothy O’Meara
Chapter
Part of the Classics in Mathematics book series (volume 117)

Abstract

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.

Keywords

Quadratic Form Vector Space Versus Invariant Factor Symmetric Bilinear Form Chapter VIII 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • O. Timothy O’Meara
    • 1
  1. 1.Department of MathematicsUniversity of Notre DameNotre DameUSA

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