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H 3 and rational points on biquadratic bicyclic norm forms

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References

  1. J. W. S.Cassels and A.Fröhlich (editors), Algebraic Number Theory. Washington 1967.

  2. H. Hasse, Beweis eines Satzes und Widerlegung einer Vermutung über das allgemeine Normenrestsymbol. Ges. Abh.1, 155–160 (1975).

    Google Scholar 

  3. W. Hürlimann, Brauer Groups and Diophantine Geometry: a cohomological approach. LNM917, 43–65, Berlin-Heidelberg-New York 1982.

    Google Scholar 

  4. W. Hürlimann, On algebraic tori of norm type. Comment. Math. Helv.59, 539–549 (1984).

    Google Scholar 

  5. C.Pitti, Etude des normes dans les extensions à groupes de Klein. Sém. théorie des nombres Delange-Pisot-Poitou, 14-éme année, exposé no.7 (1972/73).

  6. C. Pitti, Etude des normes dans les extensions à groupes de Klein. C.R. Acad. Sc. Paris, Série A,274, 1433–1435 (1972).

    Google Scholar 

  7. C. Pitti, Eléments de norme 1 dans les extensions à groupes de Klein. C.R. Acad. Sc. Paris, Série A,277, 273–275 (1973).

    Google Scholar 

  8. J.-J. Sansuc, Groupe de Brauer et arithmétique des groupes algébriques sur un corps de nombres. J. Reine Angew. Math.327, 12–80 (1981).

    Google Scholar 

  9. S. Takahashi, Cohomology of finite abelian groups. Tohoku Math. J. 2nd ser.4, 294–302 (1952).

    Google Scholar 

  10. T. Tannaka, On the normal form of cohomology groups. J. Math. Soc. Japan6, 16–31 (1954).

    Google Scholar 

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This work was done at Yale University. Financial support from the Swiss N.F. for scientific research.

The author is grateful to the referee for valuable comments on organizing the results, for additional details and simplification in the proof of Theorem 1.

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Hürlimann, W. H 3 and rational points on biquadratic bicyclic norm forms. Arch. Math 47, 113–116 (1986). https://doi.org/10.1007/BF01193679

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