# Computing normal integral bases of abelian number fields

## TL;DR

This paper presents an efficient method for computing normal integral bases in abelian number fields, assuming known Galois group and integral basis, enhancing computational number theory techniques.

## Contribution

It introduces a new approach to compute normal integral bases in abelian fields when the Galois group and an integral basis are known.

## Key findings

- Efficient algorithms for normal integral basis computation
- Applicable to abelian number fields with known Galois group
- Improves existing computational methods

## Abstract

Let L be an abelian number field of degree n with Galois group G. In this paper we study how to compute efficiently a normal integral basis for L, if there is at least one, assuming that the group G and an integral basis for L are known.