A Characterization of Algebraic Number Fields with Cyclic Class Group of Prime Power Order.
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Ulrich Krause (1984)
Mathematische Zeitschrift
J. Brzezinski (1989)
Journal für die reine und angewandte Mathematik
Ulrich Schmitt (2015)
Acta Arithmetica
The aim of this paper is to compare two modules of elliptic units, which arise in the study of elliptic curves E over quadratic imaginary fields K with complex multiplication by , good ordinary reduction above a split prime p and prime power conductor (over K). One of the modules is a special case of those modules of elliptic units studied by K. Rubin in his paper [Invent. Math. 103 (1991)] on the two-variable main conjecture (without p-adic L-functions), and the other module is a smaller one,...
Kenneth Hardy, Kenneth Williams (1986)
Acta Arithmetica
Norikata Nakagoshi (1984)
Acta Arithmetica
Kiyoaki Iimura (1977)
Journal für die reine und angewandte Mathematik
Jing Yu (1980)
Mathematische Annalen
Wiliam G. McCallum (1995)
Journal für die reine und angewandte Mathematik
Charles J. Parry (1980)
Journal für die reine und angewandte Mathematik
Rodney I. Yager (1982)
Compositio Mathematica
Kenneth A. Ribet (1976)
Inventiones mathematicae
Andrew Bremner, Patrick Morton (1983)
Manuscripta mathematica
K. Horie (1987)
Inventiones mathematicae
Dongho Byeon (1999)
Acta Arithmetica
Soogil Seo (2004)
Acta Arithmetica
Radan Kučera (2003)
Journal de théorie des nombres de Bordeaux
In this note we consider projective limits of Sinnott and Washington groups of circular units in the cyclotomic -extension of an abelian field. A concrete example is given to show that these two limits do not coincide in general.
Kenkichi Iwasawa (1976)
Inventiones mathematicae
Masakazu Yamagishi (1996)
Manuscripta mathematica
A. Mallik (1979)
Acta Arithmetica
Manabu Ozaki, Hisao Taya (1995)
Manuscripta mathematica
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