Monogenity of totally real algebraic extension fields over a cyclotomic field

DOI10.1016/j.jnt.2015.06.018zbMath1400.11136OpenAlexW1072385747MaRDI QIDQ495304

Nadia Khan, Shin-ichi Katayama, Tsuyoshi Uehara, Toru Nakahara

Publication date: 9 September 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.018

zbMATH Keywords

cyclotomic fielddifferentmonogenitytotally real algebraic number field

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

The monogeneity of radical extensions

Cites Work

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• On cyclic biquadratic fields related to a problem of Hasse
• On a problem of Hasse for certain imaginary Abelian fields
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• On the integral basis of the maximal real subfield of a cyclotomic field.
• Power Integral Bases in Composits of Number Fields
• Monogenesis of the rings of integers in certain imaginary abelian fields
• Power Integral Bases in Orders of Composite Fields

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