Orthant spanning simplexes with minimal volume.

Elia, Michele

Displaying similar documents to “Orthant spanning simplexes with minimal volume.”

Polynomials whose Galois groups are Frobenius groups with prime order complement

Leonardo Cangelmi (1994)

Journal de théorie des nombres de Bordeaux

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We give an effective characterization theorem for integral monic irreducible polynomials $f$ of degree $n$ whose Galois groups over $ℚ$ are Frobenius groups with kernel of order $n$ and complement of prime order.

Computation of the Galois group of a polynomial with rational coefficients. II.

Durov, N.V. (2005)

Journal of Mathematical Sciences (New York)

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Computation of the Galois group of a polynomial with rational coefficients.

Durov, N.V. (2004)

Zapiski Nauchnykh Seminarov POMI

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Double transitivity of Galois groups of trinomials

S. D. Cohen, A. Movahhedi, A. Salinier (1997)

Acta Arithmetica

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On a sequence of nonsolvable quintic polynomials.

Johnstone, Jennifer A., Spearman, Blair K. (2009)

Journal of Integer Sequences [electronic only]

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Some remarks on the decomposition of a rational prime in a Galois extension

M. Bhaskaran (1974)

Acta Arithmetica

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Finiteness results for Hilbert's irreducibility theorem

Peter Müller (2002)

Annales de l’institut Fourier

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Let $k$ be a number field, $𝒪_{k}$ its ring of integers, and $f (t, X) \in k (t) [X]$ be an irreducible polynomial. Hilbert’s irreducibility theorem gives infinitely many integral specializations $t \mapsto \bar{t} \in 𝒪_{k}$ such that $f (\bar{t}, X)$ is still irreducible. In this paper we study the set ${Red}_{f} (𝒪_{k})$ of those $\bar{t} \in 𝒪_{k}$ with $f (\bar{t}, X)$ reducible. We show that ${Red}_{f} (𝒪_{k})$ is a finite set under rather weak assumptions. In particular, previous results obtained by diophantine approximation techniques, appear as special cases of some of our results. Our method is different. We use elementary...

On the inverse problem of Galois theory.

Núria Vila (1992)

Publicacions Matemàtiques

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The problem of the construction of number fields with Galois group over Q a given finite groups has made considerable progress in the recent years. The aim of this paper is to survey the current state of this problem, giving the most significant methods developed in connection with it.