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Search: MSC category 12F12 ( Inverse Galois theory )

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1. CMB 2014 (vol 57 pp. 538)

Ide, Joshua; Jones, Lenny
 Infinite Families of \$A_4\$-Sextic Polynomials 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. Keywords:Galois group, sextic polynomial, inverse Galois theory, irreducible polynomialCategories:12F10, 12F12, 11R32, 11R09

2. CMB 2006 (vol 49 pp. 113)

Ledet, Arne
 \$\PSL(2,2^n)\$-Extensions Over \$\mathbb F_{2^n}\$ We construct a one-parameter generic polynomial for \$\PSL(2,2^n)\$ over \$\mathbb F_{2^n}\$. Categories:12F12, 12E10

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