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Some congruences on prime factors of class number of algebraic extensions K/Q
Queme, Roland
HAL, hal-00136007 / Harvested from HAL
Text on HAL
This paper is an updated version of ANT-0372 (2002 dec 4) with the same title. Several errors are corrected in this version. 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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00136007,
     author = {Queme, Roland},
     title = {Some congruences on prime factors of class number of algebraic extensions K/Q},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00136007}
}

Queme, Roland. Some congruences on prime factors of class number of algebraic extensions K/Q. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00136007/