Computing Class Groups and Unit Groups in Magma
Abstract
We describe the computation of class groups and unit groups of number fields as implemented in Magma (V2.29). After quickly reviewing the main algorithms based on factor bases, relation collection, and analytic class number evaluation, we distinguish their behavior across formalizable, rigorous, GRH-conditional, and heuristic regimes.
Fields of Study & Subjects
Geochemistry and Geochronology of Asian Mineral Deposits
Geometric and Algebraic Topology
Publication details
- Pages
- 162–171
- Publication date
- 9 July 2026
- Language
- EN