Unit groups of some multiquadratic number fields and 2-class groups

Let [Formula: see text] be two prime integers. In this paper, we investigate the unit groups of the fields [Formula: see text] and [Formula: see text] . Furthermore , we give the second 2-class groups of the subextensions of [Formula: see text] as well as the 2-class groups of the fields [Formula: s...

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Autor principal: Chems-Eddin, Mohamed Mahmoud
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8254862/
https://www.ncbi.nlm.nih.gov/pubmed/34248210
http://dx.doi.org/10.1007/s10998-021-00402-0
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author Chems-Eddin, Mohamed Mahmoud
author_facet Chems-Eddin, Mohamed Mahmoud
author_sort Chems-Eddin, Mohamed Mahmoud
collection PubMed
description Let [Formula: see text] be two prime integers. In this paper, we investigate the unit groups of the fields [Formula: see text] and [Formula: see text] . Furthermore , we give the second 2-class groups of the subextensions of [Formula: see text] as well as the 2-class groups of the fields [Formula: see text] and their maximal real subfields.
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spelling pubmed-82548622021-07-06 Unit groups of some multiquadratic number fields and 2-class groups Chems-Eddin, Mohamed Mahmoud Period Math Hung Article Let [Formula: see text] be two prime integers. In this paper, we investigate the unit groups of the fields [Formula: see text] and [Formula: see text] . Furthermore , we give the second 2-class groups of the subextensions of [Formula: see text] as well as the 2-class groups of the fields [Formula: see text] and their maximal real subfields. Springer International Publishing 2021-07-04 2022 /pmc/articles/PMC8254862/ /pubmed/34248210 http://dx.doi.org/10.1007/s10998-021-00402-0 Text en © Akadémiai Kiadó, Budapest, Hungary 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Chems-Eddin, Mohamed Mahmoud
Unit groups of some multiquadratic number fields and 2-class groups
title Unit groups of some multiquadratic number fields and 2-class groups
title_full Unit groups of some multiquadratic number fields and 2-class groups
title_fullStr Unit groups of some multiquadratic number fields and 2-class groups
title_full_unstemmed Unit groups of some multiquadratic number fields and 2-class groups
title_short Unit groups of some multiquadratic number fields and 2-class groups
title_sort unit groups of some multiquadratic number fields and 2-class groups
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8254862/
https://www.ncbi.nlm.nih.gov/pubmed/34248210
http://dx.doi.org/10.1007/s10998-021-00402-0
work_keys_str_mv AT chemseddinmohamedmahmoud unitgroupsofsomemultiquadraticnumberfieldsand2classgroups

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