Geodesic
Infinite Families of A4-Sextic Polynomials
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 538-545

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DOI

In this article we develop a test to determine whether a sextic polynomial that is irreducible over $\mathbb{Q}$ has Galois group isomorphic to the alternating group ${{A}_{4}}$ . This test does not involve the computation of resolvents, and we use this test to construct several infinite families of such polynomials.
DOI : 10.4153/CMB-2014-008-1
Mots-clés : 12F10, 12F12, 11R32, 11R09, Galois group, sextic polynomial, inverse Galois theory, irreducible polynomial 
Ide, Joshua; Jones, Lenny. Infinite Families of A4-Sextic Polynomials. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 538-545. doi: 10.4153/CMB-2014-008-1
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     author = {Ide, Joshua and Jones, Lenny},
     title = {Infinite {Families} of {A4-Sextic} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {538--545},
     year = {2014},
     volume = {57},
     number = {3},
     doi = {10.4153/CMB-2014-008-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-008-1/}
}
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