Biquadratic Polya fields with only one quadratic Polya subfield

JOURNAL OF NUMBER THEORY

卷:143

Article

Heidaryan, Bahar¹  Rajaei, Ali¹ 

[1] Tarbiat Modares Univ, Dept Math, Tehran 14115134, Iran

关键词: Polya fields;    Biquadratic fields;    Integer-valued polynomials;   

DOI  :  10.1016/j.jnt.2014.04.003

来源: Elsevier

【 摘 要 】

A number field is called a Polya field if the module of integer-valued polynomials over its integers has a regular basis. In this paper, we answer two open questions raised in [4] on biquadratic Polya fields using some results of [8] and [2] on Galois cohomology of number fields. In particular, we find infinitely many biquadratic Polya fields with only one quadratic Polya subfield. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free