The unit group of some fields of the form ℚ ( 2 , p , q , - l )

Moha Ben Taleb El Hamam

Mathematica Bohemica (2024)

  • Volume: 149, Issue: 1, page 49-55
  • ISSN: 0862-7959

Abstract

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Let p and q be two different prime integers such that p ≡ q ≡ 3 ( mod 8 ) 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 𝕃 = ℚ ( 2 , p , q , - l ) .

How to cite

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El Hamam, Moha Ben Taleb. "The unit group of some fields of the form $\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{-l})$." Mathematica Bohemica 149.1 (2024): 49-55. <http://eudml.org/doc/299214>.

@article{ElHamam2024,
abstract = {Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv 3\hspace\{4.44443pt\}(\@mod \; 8)$ 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 $\mathbb \{L\}=\mathbb \{Q\}(\sqrt\{2\}, \sqrt\{p\}, \sqrt\{q\}, \sqrt\{-l\})$.},
author = {El Hamam, Moha Ben Taleb},
journal = {Mathematica Bohemica},
keywords = {unit group; multiquadratic number fields; unit index},
language = {eng},
number = {1},
pages = {49-55},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The unit group of some fields of the form $\mathbb \{Q\}(\sqrt\{2\}, \sqrt\{p\}, \sqrt\{q\}, \sqrt\{-l\})$},
url = {http://eudml.org/doc/299214},
volume = {149},
year = {2024},
}

TY - JOUR
AU - El Hamam, Moha Ben Taleb
TI - The unit group of some fields of the form $\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{-l})$
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 149
IS - 1
SP - 49
EP - 55
AB - Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv 3\hspace{4.44443pt}(\@mod \; 8)$ 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 $\mathbb {L}=\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{-l})$.
LA - eng
KW - unit group; multiquadratic number fields; unit index
UR - http://eudml.org/doc/299214
ER -

References

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