Structure of the Galois group of the maximal unramified pro-$2$-extension of some $\mathbb{Z}_2$-extensions (Q5036001)

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scientific article; zbMATH DE number 7479508
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Structure of the Galois group of the maximal unramified pro-$2$-extension of some $\mathbb{Z}_2$-extensions
scientific article; zbMATH DE number 7479508

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    Structure of the Galois group of the maximal unramified pro-$2$-extension of some $\mathbb{Z}_2$-extensions (English)
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    22 February 2022
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    Iwasawa theory
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    \(\mathbb{Z}_2\)-extension
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    2-class field tower
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    real quadratic field
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    2-class group
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    metacyclic and non-metacyclic 2-group
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    capitulation
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