Publication details
On bases of Washington’s group of circular units of some real cyclic number fields
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Number Theory |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1016/j.jnt.2013.07.016 |
| Doi | http://dx.doi.org/10.1016/j.jnt.2013.07.016 |
| Field | General mathematics |
| Keywords | Circular units; class number; cyclic field |
| Description | Let K be a cyclic field whose genus field in the narrow sense is real and which is totally ramified at each ramifying prime. We shall find a basis for the group CW(K) of circular units of K defined by Washington. This enables us to compute the index of CW(K) in the group of all units of K. |
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