Geodesic
On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 1, pp. 1-14.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $d$ be a square free integer and $L_d:=\mathbb{Q}(\zeta_{8},\sqrt{d})$. In the present work we determine all the fields $L_d$ such that the $2$-class group, $\mathrm{Cl}_2(L_d)$, of $L_d$ is of type $(2,4)$ or $(2,2,2)$.
DOI : 10.14712/1213-7243.2021.008
Classification : 11R11, 11R16, 11R18, 11R27, 11R29
Keywords: $2$-group rank; $2$-class group; imaginary triquadratic number fields 
@article{10_14712_1213_7243_2021_008,
     author = {Azizi, Abdelmalek and Chems-Eddin, Mohamed Mahmoud and Zekhnini, Abdelkader},
     title = {On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {1--14},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {2021},
     doi = {10.14712/1213-7243.2021.008},
     mrnumber = {4270463},
     zbl = {07396207},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.008/}
}
TY  - JOUR
AU  - Azizi, Abdelmalek
AU  - Chems-Eddin, Mohamed Mahmoud
AU  - Zekhnini, Abdelkader
TI  - On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2021
SP  - 1
EP  - 14
VL  - 62
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.008/
DO  - 10.14712/1213-7243.2021.008
LA  - en
ID  - 10_14712_1213_7243_2021_008
ER  - 
%0 Journal Article
%A Azizi, Abdelmalek
%A Chems-Eddin, Mohamed Mahmoud
%A Zekhnini, Abdelkader
%T On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$
%J Commentationes Mathematicae Universitatis Carolinae
%D 2021
%P 1-14
%V 62
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.008/
%R 10.14712/1213-7243.2021.008
%G en
%F 10_14712_1213_7243_2021_008
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader. On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 1, pp. 1-14. doi : 10.14712/1213-7243.2021.008. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.008/

Cité par Sources :