Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-19T09:33:19.588Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  22 January 2016

Hideo Yokoi
Hideo Yokoi*
Affiliation:
Mathematical Institute, Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Information
Nagoya Mathematical Journal , Volume 27 , Issue 1 , February 1966 , pp. 207 - 211
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), 83–90.Google Scholar
[2] Yokoi, H., On the Galois cohomology group of the ring of integers in an algebraic number field, Acta Arithmetica 8 (1963), 243–250.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), 245–246.Google Scholar