Calculating Generators of Power Integral Bases in Sextic Fields with a Quadratic Subfield: The General Case
Year: 2025
Type: article
Abstract: In some previous works we gave algorithms for determining generators of power integral basis in sextic fields with a quadratic subfield, under certain restrictions. The purpose of the present paper is to extend those methods to the general case, when the relative integral basis of the sextic field over the quadratic subfield is of general form. This raises several technical difficulties, that we consider here.
Source: Mathematics
DOI: 10.3390/math14010155
Author: István Gaál
Institution: University of Debrecen
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7117745801