On the unit group of some multiquadratic fields
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909722437746688 |
|---|---|
| author | Chems-Eddin, Mohamed Mahmoud Mamry, Hamza El |
| author_facet | Chems-Eddin, Mohamed Mahmoud Mamry, Hamza El |
| contents | In this paper, we calculate the unit groups and the $2$-class numbers of the fields $ \mathbb{K}= \mathbb{Q}(\sqrt{2}, \sqrt{p_1}, \sqrt{p_2})$ and $ \mathbb{L}= \mathbb{Q}( \sqrt{-1},\sqrt{2}, \sqrt{p_1}, \sqrt{p_2})$, where $p_1$ and $p_2$ are two prime numbers satisfying $p_1\equiv p_2 \equiv 1 \pmod{4}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15591 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the unit group of some multiquadratic fields Chems-Eddin, Mohamed Mahmoud Mamry, Hamza El Number Theory In this paper, we calculate the unit groups and the $2$-class numbers of the fields $ \mathbb{K}= \mathbb{Q}(\sqrt{2}, \sqrt{p_1}, \sqrt{p_2})$ and $ \mathbb{L}= \mathbb{Q}( \sqrt{-1},\sqrt{2}, \sqrt{p_1}, \sqrt{p_2})$, where $p_1$ and $p_2$ are two prime numbers satisfying $p_1\equiv p_2 \equiv 1 \pmod{4}$. |
| title | On the unit group of some multiquadratic fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2501.15591 |