The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$
Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv3\pmod8$ with $(p/q)=1$, and $l$ a positive odd square-free integer relatively prime to $p$ and $q$. In this paper we investigate the unit groups of number fields $\mathbb L=\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$.
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2024-04-01
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| Series: | Mathematica Bohemica |
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| Online Access: | https://mb.math.cas.cz/full/149/1/mb149_1_5.pdf |
| _version_ | 1797266214237503488 |
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| author | Moha Ben Taleb El Hamam |
| author_facet | Moha Ben Taleb El Hamam |
| author_sort | Moha Ben Taleb El Hamam |
| collection | DOAJ |
| description | Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv3\pmod8$ with $(p/q)=1$, and $l$ a positive odd square-free integer relatively prime to $p$ and $q$. In this paper we investigate the unit groups of number fields $\mathbb L=\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$. |
| first_indexed | 2024-04-25T00:57:08Z |
| format | Article |
| id | doaj.art-679ca18232e245f3b953c0d6293711f0 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-25T00:57:08Z |
| publishDate | 2024-04-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-679ca18232e245f3b953c0d6293711f02024-03-11T09:20:43ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362024-04-011491495510.21136/MB.2023.0077-22MB.2023.0077-22The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$Moha Ben Taleb El HamamLet $p$ and $q$ be two different prime integers such that $p\equiv q\equiv3\pmod8$ with $(p/q)=1$, and $l$ a positive odd square-free integer relatively prime to $p$ and $q$. In this paper we investigate the unit groups of number fields $\mathbb L=\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$.https://mb.math.cas.cz/full/149/1/mb149_1_5.pdf unit group multiquadratic number fields unit index |
| spellingShingle | Moha Ben Taleb El Hamam The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ Mathematica Bohemica unit group multiquadratic number fields unit index |
| title | The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ |
| title_full | The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ |
| title_fullStr | The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ |
| title_full_unstemmed | The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ |
| title_short | The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ |
| title_sort | unit group of some fields of the form mathbb q sqrt2 sqrt p sqrt q sqrt l |
| topic | unit group multiquadratic number fields unit index |
| url | https://mb.math.cas.cz/full/149/1/mb149_1_5.pdf |
| work_keys_str_mv | AT mohabentalebelhamam theunitgroupofsomefieldsoftheformmathbbqsqrt2sqrtpsqrtqsqrtl AT mohabentalebelhamam unitgroupofsomefieldsoftheformmathbbqsqrt2sqrtpsqrtqsqrtl |