Families of non-Galois quartic fields

DOI10.1006/jnth.1995.1117zbMath0852.11063OpenAlexW2055800770MaRDI QIDQ1900882

M. Vérant, Vincent Fleckinger

Publication date: 5 December 1996

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

Full work available at URL: https://doi.org/10.1006/jnth.1995.1117

zbMATH Keywords

rings of integersgroup of unitsquadratic extensionsnon-Galois quartic fields

Mathematics Subject Classification ID

Units and factorization (11R27) Elliptic curves over global fields (11G05) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

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A family of monogenic \(S_4\) quartic fields arising from elliptic curves

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