Annihilators for the class group of a cyclic field of prime power degree
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C. Greither, R. Kučera (2004)
Acta Arithmetica
Jan Herman (2013)
Archivum Mathematicum
This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.
Wolfgang Alexander Schmid (2004)
Mathematica Slovaca
Andreas Philipp (2010)
Actes des rencontres du CIRM
Let be an order in an algebraic number field. If is a principal order, then many explicit results on its arithmetic are available. Among others, is half-factorial if and only if the class group of has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.
Geroldinger, A. (1992)
Acta Mathematica Universitatis Comenianae. New Series
Heinz-Dieter Steckel (1982)
Manuscripta mathematica
Ulrich Christian (1991)
Mathematische Zeitschrift
W. NARKIEWICZ (1987/1988)
Seminaire de Théorie des Nombres de Bordeaux
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