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Class number parity and unit signature

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References

  1. R. I. Berger, Quadratic extensions of number fields with elementary abelian 2-primK 2 (O F) of smallest rank. J. Number Theory34, 284–292 (1990). Addendum in J. Number Theory37, 122 (1991).

    Google Scholar 

  2. R. I.Berger and G.Gras, Regular fields: normic criteria inp-extensions. To appear in Publ. Math. Fac. Sci. Besançon.

  3. P. E. Conner andJ. Hurrelbrink, A comparison theorem for the 2-rank ofK 2 (O). Contemp. Math.55, 411–420 (1986).

    Google Scholar 

  4. P. E.Conner and J.Hurrelbrink, Class number parity. Singapore 1988.

  5. G. Gras, Remarks onK 2 of number fields. J. Number Theory23, 322–335 (1986).

    Google Scholar 

  6. G. Gras etJ. F. Jaulent, Sur les corps de nombres reguliers. Math. Z.202, 343–365 (1989).

    Google Scholar 

  7. H.Hasse, Über die Klassenzahl abelscher Zahlkörper. Berlin 1952.

  8. J. F.Jaulent et T.Nguyen Quang Do, Corpsp-rationnels, corpsp-reguliers, et ramification restreinte. Séminaire Théorie des Nombres, Bordeaux 1987, 88.

  9. S.Lang, Algebraic number theory. Berlin-Heidelberg-New York 1986.

  10. O. T.O'Meara, Introduction to quadratic forms. Berlin-Heidelberg-New York 1971.

  11. J. Tate, Relations betweenK 2 and Galois cohomology. Invent. Math.36, 257–274 (1976).

    Google Scholar 

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  1. Ruth I. Berger

    Present address: Department of Mathematical Sciences, Memphis State University, 38152, Memphis, TN, USA

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    1. Ruth I. Berger
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    Berger, R.I. Class number parity and unit signature. Arch. Math 59, 427–435 (1992). https://doi.org/10.1007/BF01236037

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