# Examples in Galois Theory 2 - Cubic Extensions

Desvl at
Let $$K$$ be a field ofcharacteristic $$\ne 2$$ and $$3$$. In this post we discuss the Galoisgroup of a cubic polynomial $$f$$ over$$K$$. The process is not very hard butthere are some quite non-trivial observations.Let $$k$$ be an arbitrary field andsuppose $$f(X) \in k[X]$$ is separableand, i.e., ……