Engineering↗
Class Group and Unit Computation in General Number Fields
The general sub-exponential algorithm for class groups and units: factor base selection, ideal reduction, relation collection, the relation matrix and its kernel, and verificati…
Tag
Number Fields II
Every page in the KEVOS library tagged Number Fields II. 3 pages.
Engineering↗
Computing Galois Groups of Number Fields
The resolvent method for determining Galois groups, the Frobenius cycle-type approach via Dedekind's theorem, transitive group classification by degree, and test polynomials.
Engineering↗
Computing the Maximal Order: the Round 2 Algorithm
The Pohst-Zassenhaus theorem, the Dedekind criterion, the radical and the ring of multipliers, and the Round 2 algorithm for computing the ring of integers.
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