Investigating monogenity in a family of cyclic sextic fields

TL;DR

This paper studies the monogenity of a family of cyclic sextic number fields, building on previous polynomial characterizations, and demonstrates the effectiveness of a new method through this application.

Contribution

It introduces a novel application of a method to analyze monogenity in cyclic sextic fields, extending polynomial results to number fields.

Findings

First non-trivial application of the method to number fields

Characterization of monogenity in a specific family of sextic fields

Demonstrates the method's efficiency in this context

Abstract

L. Jones characterized among others monogenity of a family of cyclic sextic polynomials. Our purpose is to study monogenity of the family of corresponding sextic number fields. This also provides the first non-trivial application of the used method, emphasizing its efficiency.