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From Pólya fields to Pólya groups (II) Non-Galois number fields
Journal of Number Theory ( IF 0.7 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jnt.2020.06.008
Jean-Luc Chabert , Emmanuel Halberstadt

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 field whose Polya group is trivial. Our purpose is to start with known assertions about Polya fields to find results concerning Polya groups. In this second paper we describe the Polya group of some non-galoisian extensions of Q.

中文翻译:

从波利亚域到波利亚群(二)非伽罗华数域

数域 K 的 Polya 群是 K 的类群的子群,由具有相同范数的极大理想的乘积的类生成。Polya 域是一个数字域,其 Polya 组是微不足道的。我们的目的是从关于 Polya 场的已知断言开始,以找到有关 Polya 群的结果。在第二篇论文中,我们描述了 Q 的一些非伽罗瓦扩展的 Polya 群。
更新日期:2021-03-01
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