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A recursive description of the maximal pro-2 galois group via witt rings

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References

  1. Arason, J.: A proof of Merkurjev's Theorem. Canadian Mathematical Conference Proceedings.4, 121–130 (1984)

    Google Scholar 

  2. Arason, J., Elman, R., Jacob, B.: The graded Witt ring and Galois cohomology I. Canadian Mathematical Society Conference Proceedings.4, 17–50 (1984)

    Google Scholar 

  3. Arason, J., Elman, R., Jacob, B.: Graded Witt rings of elementary type. Math. Ann.272, 267–280 (1985)

    Google Scholar 

  4. Arason, J., Elman, R., Jacob, B.: Rigid elements, valuations, and realization of Witt rings. J. Algebra.110, 449–467 (1987)

    Google Scholar 

  5. Arason, J., Elman, R., Jacob, B.: Fields of cohomological 2-dimensions three. Math Ann.274, 649–657 (1986)

    Google Scholar 

  6. Arason, J., Elman, R., Jacob, B.: The graded Witt ring and galois cohomology II. Trans. A.M.S., to appear

  7. Becker, E.: Formal-reelle Körper mit streng-auflösbarer absoluter Galoisgruppe. Math. Ann.,238, 203–206 (1978)

    Google Scholar 

  8. Demushkin, S.: On the maximalp-extension of a local field. Izv. Akad. Nauk., USSR. Math. Ser.25, 329–346 (1961)

    Google Scholar 

  9. Demushkin, S.: On 2-extensions of a local field. Sibirsk. Math. Z.4, 951–955 (1963)

    Google Scholar 

  10. Jacob, B.: On the structure of Pythagorean fields. J. Algebra68, 247–267 (1981)

    Google Scholar 

  11. Jacob, B., Wadsworth, A.: A new construction of noncrossed product algebras. Trans. A.M.S.293, 693–721 (1986)

    Google Scholar 

  12. Kula, M.: Fields with prescribed quadratic form schemes. Math. Z.167, 201–212 (1979)

    Google Scholar 

  13. Lam, T.Y. The algebraic theory of quadratic forms. W.A. Benjamin 1973

  14. Labute, J.P.: Classification of Demushkin groups. Can. J. Math.XIX, 106–132 (1967)

    Google Scholar 

  15. Marshall, M.: Abstract Witt Rings. Queen's Pap. Pure Appl. Math. no. 57 (1980)

  16. Merkurjev, A. On the norm residue symbol of degree 2. Dokl. Akad. Nauk. SSSR261, 542–547 (1981) (English Translation) Sov. Math. Dokl.24, 546–551 (1981)

    Google Scholar 

  17. Neukirch, J.: Freie Produkte proendlicher Gruppen und ihre Kohomologie. Arch. Math.22, 337–357 (1971)

    Google Scholar 

  18. Schilling, O.G.F.: The theory of valuations. Mathematical Surveys #4; American Mathematical Society (1950)

  19. Serre, J.-P.: Cohomologie Galoisienne. Lect. Notes Math. vol 5, Berlin-Heidelberg-New York: Springer, 1965

    Google Scholar 

  20. Ware, R.: Valuation rings and rigid elements in fields. Can. J. Math.33, 1338–1355 (1981)

    Google Scholar 

  21. Ware, R.: Quadratic forms and profinite 2-groups. J. Algebra.58, 227–237 (1979)

    Google Scholar 

  22. Ware, R.: Quadratic forms and pro-2 groups II: The galois group of the pythagorean closure of a formally real field. J. Pure and Appl. Algebra30, 95–107 (1983)

    Google Scholar 

  23. Ware, R.: Quadratic forms and pro-2-groups III. Communications in Algebra13 (8), 1713–1736 (1985)

    Google Scholar 

  24. Ware, R.: When are Witt rings group rings? II Pac. J. Math76, 541–564 (1978)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Oregon State University, 97331, Corvallis, Oregon, USA

    Bill Jacob

  2. Department of Mathematics, The Pennsylvania State University, 16802, University Park, Pennsylvania, USA

    Roger Ware

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  1. Bill Jacob
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  2. Roger Ware
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Jacob, B., Ware, R. A recursive description of the maximal pro-2 galois group via witt rings. Math Z 200, 379–396 (1989). https://doi.org/10.1007/BF01215654

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