Article ID Journal Published Year Pages File Type
4593341 Journal of Number Theory 2016 20 Pages PDF
Abstract

This paper constructs a basis and gives a presentation of Sinnott's group of circular units for a real abelian field k ramified at three primes whose genus field K   in the narrow sense has cyclic relative Galois group Gal(K/k)Gal(K/k). It is shown that, for this type of fields, the quotient of the module of all relations satisfied by circular units by the submodule generated by all norm relations is a cyclic module generated by an Ennola relation.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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