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CM FIELDS WITHOUT UNIT-PRIMITIVE ELEMENTS

Published online by Cambridge University Press:  20 September 2017

CORNELIUS GREITHER*
Affiliation:
Institut für Theoretische Informatik und Mathematik, Universität der Bundeswehr, München, 85577 Neubiberg, Germany email [email protected]
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 [email protected]
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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.

Type
Research Article
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

Remak, R., ‘Über algebraische Zahlkörper mit schwachem Einheitsdefekt’, Compositio Math. 12 (1954), 3580.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), 420432.Google Scholar