Exponents of the class groups of imaginary Abelian number fields

DOI10.1017/S0004972700013198zbMath0597.12006OpenAlexW2169462620MaRDI QIDQ3729013

Andrew G. Earnest

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0004972700013198

zbMATH Keywords

imaginary abelian number fieldsclass group of exponent 2

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

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

Cites Work

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• Group-theoretic constraints on the structure of the class group
• On the ideal class groups of some cyclotomic fields
• Class numbers of imaginary abelian number fields. I
• A Note on the Class-Numbers of Algebraic Number Fields
• On Ideal Class Groups of 2-Power Exponent
• Class Groups of Quadratic Fields
• Scalar extension of quadratic lattices
• Small Class Numbers and Extreme Values of L-Functions of Quadratic Fields
• AN EXTENSION OF HEILBRONN'S CLASS-NUMBER THEOREM
• On the Exponent of the Ideal Class Groups of Complex Quadratic Fields