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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 polynomial
Categories: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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