pi-adic approach of p-class group and unit group of p-cyclotomic fields
| dc.creator | Queme, Roland | |
| dc.date | 2004-07-25 | |
| dc.date | 2005-02-05 | |
| dc.date.accessioned | 2026-07-07T05:10:40Z | |
| dc.date.available | 2026-07-07T05:10:40Z | |
| dc.description | Let p > 2 be a prime. Let Q(zeta) be the p-cyclotomic field. Let pi be the prime ideal of Q(zeta) lying over p. This article aims to describe some pi-adic congruences characterizing the structure of the p-class group and of the unit group of the field Q(zeta). For the unit group, this article supplements the 1954 and 1956 papers of Denes on this topic. A complete summarizing of the results obtained follows in the Introduction section of the paper (pages 3 to 6). This new version of the article with the same title, submitted with reference math.NT/0407430 25 Jul 2004: - corrects several typing errors in the introduction and in the paper, - simplifies some proofs of pi-adic congruences connected to p-class group, - removes the section dealing of the singular group foreseen in an independant paper. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407430 | |
| dc.identifier | http://arxiv.org/abs/math/0407430 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71999 | |
| dc.subject | Number Theory | |
| dc.subject | 11R18; 11R27; 11R29 | |
| dc.title | pi-adic approach of p-class group and unit group of p-cyclotomic fields | |
| dc.type | text |