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Galois group of an irreducible cubic

An irreducible cubic over a field of characteristic other than two has Galois group

A_{3}

when its discriminant is a square and

S_{3}

otherwise.

Table of contents 77 2
- Splitting field of x cubed minus x minus one Galois group of an irreducible cubic 37
- Cubic discriminant criterion Galois group of an irreducible cubic 16

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