Circular units of an abelian field ramified at three primes
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Number Theory |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jnt.2015.11.023 |
| 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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