Class group and fundamental unit of quadratic extensions over a principal imaginary quadratic field

DOI10.2140/pjm.1981.96.1zbMath0475.12006OpenAlexW2054882346MaRDI QIDQ1159712

Hédi Amara

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102734942

zbMATH Keywords

algorithmclass numberimaginary quadratic fieldfundamental unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Related Items (4)

Minorations d’unités fondamentales—applications ⋮ Class group and fundamental unit of quadratic extensions over a principal imaginary quadratic field ⋮ Relative norm of the fundamental unit of certain biquadratic fields and parity of the lengths of cycles of reduced ideals ⋮ Quadratic extensions of the rational field, the Gauss field or the field of cubic roots of unity of caliber 1

Cites Work

• Class group and fundamental unit of quadratic extensions over a principal imaginary quadratic field
• Computation of the Ideal Class Group of Certain Complex Quartic Fields
• Computation of the Ideal Class Group of Certain Complex Quartic Fields. II
• Unnamed Item

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