| Автор | Gerth, Frank |
| Дата выпуска | 1977 |
| dc.description | Let l be a rational prime, and let ℤ<sub>l</sub> denote the ring of l-adic integers. Let k<sub>0</sub> be a finite extension field of the rational numbers ℚ, and let K be a ℤ<sub>l</sub>-extension of k<sub>0</sub> (i.e., Gal (K/k<sub>0</sub>) is topologically isomorphic to the additive group of Z<sub>l</sub>). Let the intermediate fields be denoted as follows:where k<sub>n</sub>k<sub>0</sub> is a cyclic extension of degree l<sub>n</sub>, and Let A<sub>n</sub> denote the l-class group of k<sub>n</sub> (i.e., the Sylow l-subgroup of the ideal class group of k<sub>n</sub>). It is known that the order of A<sub>n</sub> is given by , with |
| Формат | application.pdf |
| Издатель | London Mathematical Society |
| Копирайт | Copyright © University College London 1977 |
| Тема | 12A65: ALGEBRAIC NUMBER THEORY; FIELD THEORY AND POLYNOMIALS; Algebraic number theory; Classfield theory |
| Название | Structure of l-class groups of certain number fields and ℤ<sub>l</sub>-extensions |
| Тип | research-article |
| DOI | 10.1112/S002557930000886X |
| Electronic ISSN | 2041-7942 |
| Print ISSN | 0025-5793 |
| Журнал | Mathematika |
| Том | 24 |
| Первая страница | 16 |
| Последняя страница | 33 |
| Аффилиация | Gerth Frank; The Universtity of Texas |
| Выпуск | 1 |
