Annihilators for the class group of a cyclic field of prime power degree
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Periodical |
| Magazine / Source | Acta Arithmetica |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | annihilators; class group; cyclotomic units; cyclic fields |
| Description | The aim of this paper is to prove annihilation statements for the class groups of a restricted class of absolutely abelian fields, improving upon those that can be obtained by applying the celebrated methods of Thaine and Rubin in that the `special elements' involved are better adapted than the Sinnott circular unit which the latter method would use. In fact, the special elements here occur as `roots' of the Sinnott circular unit under the action of certain augmentation elements of the associated integral Galois group ring. |
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