Note on the ring of integers of a Kummer extension of prime degree. III (Q5951534)
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scientific article; zbMATH DE number 1686121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on the ring of integers of a Kummer extension of prime degree. III |
scientific article; zbMATH DE number 1686121 |
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Note on the ring of integers of a Kummer extension of prime degree. III (English)
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7 January 2002
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normal integral basis
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Kummer extension
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Iwasawa theory
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The author studies the existence of normal integral bases in certain Kummer extensions of the \(n\)-th layer of the cyclotomic \({\mathbb Z}_p\)-extension of a CM field \(K\) containing the \(p\)-th roots of unity. NEWLINENEWLINENEWLINEPart I is to appear and for Part II see Zbl 0989.11061.
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