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On the integer ring of the compositum of algebraic number fields

Published online by Cambridge University Press:  22 January 2016

Toshitaka Kataoka
Toshitaka Kataoka*
Affiliation:
University of Tokyo
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Let k be an algebraic number field of finite degree. For a finite extension L/k we denote by L/k the different of L/k, and by L the integer ring of L. Let K1 and K2 be finite extensions of k.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 77 , February 1980 , pp. 25 - 31
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

[1] Fröhlich, A., Local fields, Chapter 1 in “Algebraic Number Theory”, Proceeding of the Brighton Conference, London and New York, 1967.Google Scholar
[2] Shimura, G., Construction of class fields and zeta functions of algebraic curves, Ann. of Math., 85 (1967), 58–159.Google Scholar