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Ramification Theory for Extensions of Degree p. II
- Source :
- Nagoya Math. J. 46 (1972), 97-109
- Publication Year :
- 1972
- Publisher :
- Cambridge University Press (CUP), 1972.
-
Abstract
- Let k denote the quotient field of a complete discrete rank one valuation ring R of unequal characteristic and let p denote the characteristic of RĖ ; assume that R contains a primitive pth root of unity, so that the absolute ramification index e of R is a multiple of p â 1, and each Gallois extension K â k of degree p may be obtained by the adjunction of a pth root.
Details
- ISSN :
- 21526842 and 00277630
- Volume :
- 46
- Database :
- OpenAIRE
- Journal :
- Nagoya Mathematical Journal
- Accession number :
- edsair.doi.dedup.....ca9e4f8ac13a4ce7f010600449dbfed2