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Primary components of the ideal class group of an Iwasawa-theoretical Abelian number field

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Publication:996133
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DOI10.2969/jmsj/05930811zbMath1128.11052OpenAlexW2144483924MaRDI QIDQ996133

Kuniaki Horie

Publication date: 12 September 2007

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

Full work available at URL: https://doi.org/10.2969/jmsj/05930811


zbMATH Keywords

unitsIwasawa theoryclass groupsAbelian extensions


Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)


Related Items (4)

WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ2-EXTENSION OF ℚ, III ⋮ Weber's class number problem in the cyclotomic \(\mathbb Z_2\)-extension of \(\mathbb Q\). II. ⋮ The ideal class group of the \(\mathbb Z_p\)-extension over the rationals ⋮ On the 2-part of the class numbers of cyclotomic fields of prime power conductors




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