| Title:
|
On the structure of the 2-Iwasawa module of some number fields of degree 16 (English) |
| Author:
|
Jerrari, Idriss |
| Author:
|
Azizi, Abdelmalek |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
72 |
| Issue:
|
4 |
| Year:
|
2022 |
| Pages:
|
1145-1156 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $K$ be an imaginary cyclic quartic number field whose 2-class group is of type $(2, 2, 2)$, i.e., isomorphic to $\mathbb {Z}/2\mathbb {Z}\times \mathbb {Z}/2\mathbb {Z}\times \mathbb {Z}/2\mathbb {Z}$. The aim of this paper is to determine the structure of the Iwasawa module of the genus field $K^{(*)}$ of $K$. (English) |
| Keyword:
|
cyclic quartic field |
| Keyword:
|
cyclotomic $\mathbb Z_2$-extension |
| Keyword:
|
2-Iwasawa module |
| Keyword:
|
2-class group |
| Keyword:
|
2-rank |
| MSC:
|
11R16 |
| MSC:
|
11R18 |
| MSC:
|
11R20 |
| MSC:
|
11R23 |
| MSC:
|
11R29 |
| idZBL:
|
Zbl 07655789 |
| idMR:
|
MR4517602 |
| DOI:
|
10.21136/CMJ.2022.0398-21 |
| . |
| Date available:
|
2022-11-28T11:41:00Z |
| Last updated:
|
2025-01-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151136 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
