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CM FIELDS WITHOUT UNIT-PRIMITIVE ELEMENTS

Part of: Field extensions Algebraic number theory: global fields

Published online by Cambridge University Press:  20 September 2017

CORNELIUS GREITHER Open the ORCID record for CORNELIUS GREITHER [Opens in a new window]  and
TOUFIK ZAÏMI
CORNELIUS GREITHER*
Affiliation:
Institut für Theoretische Informatik und Mathematik, Universität der Bundeswehr, München, 85577 Neubiberg, Germany email cornelius.greither@unibw.de
TOUFIK ZAÏMI
Affiliation:
Department of Mathematics and Statistics, College of Science, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), PO Box 90950, Riyadh 11623, Saudi Arabia email tmzaemi@imamu.edu.sa
*
✉cornelius.greither@unibw.de
Rights & Permissions [Opens in a new window]

Abstract

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This is an addendum to a recent paper by Zaïmi, Bertin and Aljouiee [‘On number fields without a unit primitive element’, Bull. Aust. Math. Soc.93 (2016), 420–432], giving the answer to a question asked in that paper, together with some historical connections.

Keywords

primitive elementsunitsCM fields

MSC classification

Primary: 11R27: Units and factorization
Secondary: 12F05: Algebraic extensions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 3 , December 2017 , pp. 398 - 399
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

Remak, R., ‘Über algebraische Zahlkörper mit schwachem Einheitsdefekt’, Compositio Math. 12 (1954), 35–80.Google Scholar
Zaïmi, T., Bertin, M. J. and Aljouiee, A. M., ‘On number fields without a unit primitive element’, Bull. Aust. Math. Soc. 93 (2016), 420–432.Google Scholar