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Special groups: Boolean-theoretic methods in the theory of quadratic forms: Boolean-Theoretic Methods in the Theory of Quadratic Forms


About this Title

M. A. Dickmann and F. Miraglia

Publication: Memoirs of the American Mathematical Society
Publication Year 2000: Volume 145, Number 689
ISBNs: 978-0-8218-2057-5 (print); 978-1-4704-0280-8 (online)
DOI: http://dx.doi.org/10.1090/memo/0689
MathSciNet review: 1677935
MSC (1991): Primary 11E81; Secondary 12D15, 19G12

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Table of Contents


Chapters

  • 1. Special groups
  • 2. Pfister forms, saturated subgroups and quotients
  • 3. The space of orders of a reduced group. Duality
  • 4. Boolean algebras and reduced special groups
  • 5. Embeddings
  • 6. Special groups of continuous functions
  • 7. Horn-Tarski and Stiefel-Whitney invariants
  • 8. Algebraic -theory of fields and special groups
  • 9. Marshall's conjecture for Pythagorean fields
  • 10. The category of special groups
  • 11. Some model theory of special groups