Triviality of the \(\ell\)-class groups in \(\mathbb{Z}_{p}\)-extensions of \(\mathbb{Q}(\sqrt{-1})\) for split primes \(p \equiv 1\) modulo 4 (Q2877369)
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scientific article; zbMATH DE number 6333637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Triviality of the \(\ell\)-class groups in \(\mathbb{Z}_{p}\)-extensions of \(\mathbb{Q}(\sqrt{-1})\) for split primes \(p \equiv 1\) modulo 4 |
scientific article; zbMATH DE number 6333637 |
Statements
22 August 2014
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class group
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class number
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Mahler measure
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elliptic units
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\(\mathbb{Z}_{p}\)-extensions
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Triviality of the \(\ell\)-class groups in \(\mathbb{Z}_{p}\)-extensions of \(\mathbb{Q}(\sqrt{-1})\) for split primes \(p \equiv 1\) modulo 4 (English)
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