On Washington group of circular units of some composita of quadratic fields
Michal Bulant (2005)
Mathematica Slovaca
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Displaying similar documents to “A note on circular units in -extensions”
On Washington group of circular units of some composita of quadratic fields
A note on Sinnott's index formula
Kazuhiro Dohmae (1997)
Acta Arithmetica
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Let k be an (imaginary or real) abelian number field whose conductor has two distinct prime divisors. We shall construct a basis for the group C of circular units in k and compute the index of C in the group E of units in k. This result is a generalization of Theorem 3.3 in a previous paper [1].
On the units of cyclotomic fields
K. Ramachandra (1966)
Acta Arithmetica
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Bases for cyclotomic units
Robert Gold, Jaemoon Kim (1989)
Compositio Mathematica
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Annihilators of the class group of a compositum of quadratic fields
Jan Herman (2013)
Archivum Mathematicum
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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.