Some congruences on prime factors of class number of finite algebraic extensions K/Q
| dc.creator | Queme, Roland | |
| dc.date | 2003-04-25 | |
| dc.date.accessioned | 2026-07-07T04:57:24Z | |
| dc.date.available | 2026-07-07T04:57:24Z | |
| dc.description | This paper is a contribution to the description of some congruences on the odd prime factors of the class number of the number fields. An example of results obtained is: Let L/Q be a finite Galois solvable extension with [L:Q]=N, where N > 1 is odd. Let h(L) be the class number of L. Suppose that h(L) > 1. Let p be a prime dividing h(L). Let r be the rank of the p-class group of L. Then the product p\times (p^r-1)\times(p^{r-1}-1)\times ....\times (p-1) and N are not coprime. The proofs are elementary. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0304405 | |
| dc.identifier | http://arxiv.org/abs/math/0304405 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67251 | |
| dc.subject | Number Theory | |
| dc.subject | 11R29;12F10 | |
| dc.title | Some congruences on prime factors of class number of finite algebraic extensions K/Q | |
| dc.type | text |