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\(p\)-ranks of class groups in \(Z^n_p\)-extensions

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Publication:1051041
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DOI10.1007/BF01457057zbMath0514.12008MaRDI QIDQ1051041

No author found.

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163763


zbMATH Keywords

Iwasawa-Greenberg modulemaximal Abelian unramified extensionmodule over n-variable power series ring


Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Power series rings (13J05)


Related Items (9)

Class numbers in \(\mathbb Z^ d_ p\)-extensions. III ⋮ Class numbers in \(\mathbb Z^ d_ p\)-extensions. IV ⋮ IWASAWA THEORY FORp-TORSION CLASS GROUP SCHEMES IN CHARACTERISTICp ⋮ Growth of Fine Selmer Groups in Infinite Towers ⋮ ON THE 2-ADIC IWASAWA INVARIANTS OF ORDINARY ELLIPTIC CURVES ⋮ Class numbers and \(p\)-ranks in $\mathbb{Z}_p^d$-towers ⋮ A GENERALIZATION OF THE CONGRUENT NUMBER PROBLEM ⋮ Class numbers in \({\mathbb{Z}}^ d_ p\)-expansions. II ⋮ Some surprising Hilbert-Kunz functions




Cites Work

  • The Hilbert-Kunz function




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