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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Witt equivalence of global fields. II. Relative quadratic extensions
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by Kazimierz Szymiczek PDF
Trans. Amer. Math. Soc. 343 (1994), 277-303 Request permission

Abstract:

This paper explores the consequences of the Hasse Principle for Witt equivalence of global fields in the case of relative quadratic extensions. We are primarily interested in generating the Witt equivalence classes of quadratic extensions of a given number field, and we study the structure of the class, the number of classes, and the structure of the set of classes. Along the way, we reprove several results obtained earlier in the absolute case of the rational ground field, giving unified and short proofs based on the Hasse Principle.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 343 (1994), 277-303
  • MSC: Primary 11E12; Secondary 11E08, 11E81
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1176087-X
  • MathSciNet review: 1176087