Publication details
Circular units of real abelian fields with four ramified primes
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.5817/AM2017-4-221 |
| Field | General mathematics |
| Keywords | Circular units; abelian fields; four ramified primes; Ennola relations |
| Description | In this paper we study the groups of circular numbers and circular units in Sinnott's sense in real abelian fields with exactly four ramified primes under certain conditions. More specifically, we construct their Z-bases in five special infinite families of cases. We also derive some results about the corresponding module of relations (in one family of cases, we show that the module of Ennola relations is cyclic). |
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