An example of the kind of results obtained is: Let K/\Q be an abelian extension with N = [K:\Q] > 1, N odd. Let h(K) be the class number of K. Suppose that h(K) > 1. Let p be a prime dividing h(K). Let r_p be the rank of the p-class group of K. Then p\times (p^{r_p}-1) and N are not coprime.

The paper is at elementary level and contains a lot of numerical examples.

- 0373.bib (323 bytes)
- td21220.dvi (30448 bytes) [December 20, 2002]
- td21220.dvi.gz (11253 bytes)
- td21220.ps.gz (60319 bytes)

Roland Queme <roland.queme@free.fr>