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On the index (R∶U) and the genus number of an abelian number field

Remarks to a paper of Sinnott

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References

  1. M.Ishida, The genus fields of algebraic number fields. LNM555, Berlin-Heidelberg-New York 1976.

  2. H. W. Leopoldt, Zur Geschlechtertheorie in abelschon Zahlkörpern. Math. Nachr.9, 350–362 (1953).

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  3. W. Sinnott, On the Stickelberger ideal and the circular units of a cyclotomic field. Ann. Math.108, 107–134 (1978).

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  4. W. Sinnott, On the Stickelberger ideal and the circular units of an abelian field. Inventiones math.62, 181–234 (1980).

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  1. Makoto Ishida

    Present address: Department of Mathematics, Tokyo Metropolitan University, Fukazawa, Setagaya, 158, Tokyo, Japan

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    1. Makoto Ishida
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    Ishida, M. On the index (R∶U) and the genus number of an abelian number field. Arch. Math 39, 546–550 (1982). https://doi.org/10.1007/BF01899659

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    • DOI: https://doi.org/10.1007/BF01899659

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