Publication details

Circular units of an abelian field ramified at three primes

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Year of publication 2016
Type Article in Periodical
Magazine / Source Journal of Number Theory
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Abelian field; circular (cyclotomic) units; Ennola relation.
Description 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). 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.
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