Work

Calculating Generators of Power Integral Bases in Sextic Fields With a Real Quadratic Subfield

Year: 2025

Type: article

Abstract: We discuss the problem of calculating generators of power integral bases in sextic fields, especially focusing on the case of sextic fields with real quadratic subfields. Our main purpose is to describe an efficient algorithm for calculating generators of power integral bases. We show that appropriately using integer arithmetics speeds up the calculations considerably. Our experiences lead to some interesting general statements on generators of power integral bases in number fields generated by a unit.

Source: JP Journal of Algebra Number Theory and Applications

DOI: 10.17654/0972555525016

Author: István Gaál

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4409409461

FWCI:

Cites: 3

Cited by:

Related to: 10