Tag
Galois Group
7 resources tagged “Galois Group” across the knowledge library.
7 items
Article7 Aug 2026Galois Groups of Cubic and Quartic FieldsComplete determination of Galois groups in degrees three and four, where the discriminant and one cubic resolvent decide everything.2 min readRead MoreArticle7 Aug 2026Galois Groups of Quintic FieldsDetermining Galois groups in degree five, where solvability by radicals first fails and the resolvent degrees grow.2 min readRead MoreArticle7 Aug 2026Galois Groups of Sextic and Septic FieldsDegrees six and seven, where the number of candidate groups and the resolvent degrees make careful strategy essential.2 min readRead MoreArticle7 Aug 2026Test Polynomials for Galois Group SoftwareWhy Galois group implementations need a curated test set, what a good set covers, and how to build one.2 min readRead MoreArticle7 Aug 2026The Galois Group Computation ProblemWhat computing a Galois group means, why the splitting field cannot be constructed, and the transitive group classification that makes the problem finite.2 min readRead MoreArticle7 Aug 2026The Resolvent Method for Galois GroupsConstructing resolvent polynomials whose factorisation distinguishes candidate Galois groups, and the practical issues in using them.2 min readRead MoreGuide6 Aug 2026Computing Galois Groups of Number FieldsThe resolvent method for determining Galois groups, the Frobenius cycle-type approach via Dedekind's theorem, transitive group classification by degree, and test polynomials.5 min readRead More