4 papers
From Polya fields to Polya groups, (II) non-galoisian number fields
Jean-Luc Chabert
The Polya group of a number field K is the subgroup of the class group of K generated by the classes of the products of the maximal ideals with same norm. A Polya field is a number…
Integer-valued Polynomials, Prüfer Domains and the Sacked Bases Property
Jacques Boulanger, Jean-Luc Chabert
To study the question of whether every two-dimensional Prüfer domain possesses the stacked bases property, we consider the particular case of the Prüfer domains formed by integer-v…
From Polya fields to Polya groups: (I) Galoisian extensions
Jean-Luc Chabert
The Polya group of a number field K is the subgroup of the class group of K generated by the classes of the products of the maximal ideals with same norm. A Polya field is a number…
On Abhyankar's lemma about ramification indices
Jean-Luc Chabert, Emmanuel Halberstadt
We provide a simple proof of the fact that the ramification index of the compositum of two finite extensions of local fields is equal to the least common multiple of the ramificati…