Examples in Galois Theory 2 - Cubic Extensions

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Let \(K\) be a field of characteristic \(\ne 2\) and \(3\). In this post we discuss the Galois group of a cubic polynomial \(f\) over \(K\). The process is not very hard but there are some quite non-trivial observations.Let \(k\) be an arbitrary field and suppose \(f(X) \in k[X]\) is separable and, ……