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A Cohomological Investigation of the Discriminant of a Normal Algebraic Number Field

Published online by Cambridge University Press:  22 January 2016

Hideo Yokoi*
Affiliation:
Mathematical Institute, Nagoya University
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1. Let F be an algebraic number field of finite degree, and let K/F be a normal extension of degree n. Denote by OK the ring of all integers in K. In we proved the following:

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Yokoi, H., On the ring of integers in an algebraic number field as a representation module of Galois group, Nagoya Math. J. 16 (1960), 8390.Google Scholar
[2] Yokoi, H., On the Galois cohomology group of the ring of integers in an algebraic number field, Acta Arithmetica 8 (1963), 243250.Google Scholar
[3] Yokoi, H., A note on the Galois cohomology group of the ring of integers in an algebraic number field, Proc. Japan Akad. 40 (1964), 245246.Google Scholar