Some congruences on prime factors of class number of algebraic extensions K/Q (update), by Roland Queme

This paper is an update with correction of several errors in preprint 372, December 4, 2002, with the same title.

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.

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Roland Queme <roland.queme@free.fr>