NDLI: Note on Galois Cohomology

Content Provider	Scilit
Author	Nakayama, Tadasi
Copyright Year	1953
Description	Let K/k be a Galois extension. Formerly the writer studied, in [3], [4], a certain correlation of factor sets in K/k with the norm class group of K/k, and extended it, in [5.], to 3-dimensional cocycles. The present note is to study the same relationship for general n-cocycles. As a matter of fact, the constructions which underlie the relationship have become common places in cohomology theory, through the works of French and American authors, and indeed the construction to bring certain (non-Galois) cocycles into the ground field k has been discussed by Baer [1, Theorem C] for general dimensions n under the setting of general group cohomology.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F91F6033520BB835AC211CA9FA0FB26F/S0027763000015476a.pdf/div-class-title-note-on-galois-cohomology-div.pdf
ISSN	00277630
e-ISSN	21526842
DOI	10.1017/s0027763000015476
Journal	Nagoya Mathematical Journal
Volume Number	5
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1953-02-01
Access Restriction	Open
Subject Keyword	Nagoya Mathematical Journal Mathematical Physics
Content Type	Text
Subject	Mathematics

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