Galois group of an irreducible cubic
= Galois group of an irreducible cubic
{c}
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.
= Galois group of an irreducible cubic
{c}
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.