The class groups of the imaginary Abelian number fields with Galois group (ℤ/2ℤ)n

DOI10.1017/S0004972700034481zbMath1065.11087OpenAlexW2016748578MaRDI QIDQ3158800

Jeoung-Hwan Ahn, Soun-Hi Kwon

Publication date: 31 January 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700034481

zbMATH Keywords

composite complex quadratic fieldsGalois groups of degree 2

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (1)

The imaginary abelian number fields of $2$-power degrees with ideal class groups of exponent $≤2$

Uses Software

• KANT/KASH

Cites Work

• Unnamed Item
• KANT V4
• On imaginary abelian number fields of type \((2, 2, \dots, 2)\) with one class in each genus
• On Ideal Class Groups of 2-Power Exponent
• On the Exponents of Ideal Class Groups of Cyclotomic Fields
• Determination of All Nonquadratic Imaginary Cyclic Number Fields of 2-Power Degrees with Ideal Class Groups of Exponents ≤2
• On the Exponent of the Ideal Class Group of Q (√-d)
• AN EXTENSION OF HEILBRONN'S CLASS-NUMBER THEOREM
• On the 2-Class Groups of Cyclotomic Fields whose Maximal Real Subfields have Odd Class Numbers
• On the Exponent of the Ideal Class Groups of Complex Quadratic Fields
• The imaginary abelian number fields with class numbers equal to their genus class numbers

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