Hasse's problem for monogenic fields

DOI10.5802/ambp.252zbMath1187.11038OpenAlexW2316475734MaRDI QIDQ1017361

Toru Nakahara

Publication date: 18 May 2009

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2009__16_1_47_0

zbMATH Keywords

power integral basismonogenic fields

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

Monogenic binomial compositions

Cites Work

• On the minimum index of a cyclic quartic field
• Power integral bases in algebraic number fields whose Galois groups are 2-elementary abelian
• On the indices and integral bases of non-cyclic but Abelian biquadratic fields
• On cyclic biquadratic fields related to a problem of Hasse
• Monogenic biquadratic fields
• On a problem of Hasse for certain imaginary Abelian fields
• Monogenesis of the rings of integers in certain imaginary abelian fields
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