Can anyone give me an example of a finite Galois extension whose Galois group is $A_4$?
Example of Galois extension whose Galois group is $A_4$
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galois-theory
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2See http://mathstat.carleton.ca/~williams/papers/pdf/232.pdf and http://www.math.uconn.edu/~kconrad/blurbs/galoistheory/cubicquartic.pdf (example 3.3). – 2012-02-16
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0More advanced sources: 1) Topics in Galois theory of Serre, page 43 and 2) Inverse Galois Theory of Malle and Matzat, see the tables toward the end. – 2012-11-07