Oz Ben-Shimol

most citedOn Galois Groups of Prime Degree Polynomials with Complex Roots

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math.NT2008

Explicit Constructions of the non-Abelian $p^{3}$ -Extensions Over $\QQ$

Oz Ben-Shimol

Let $p$ be an odd prime. Let $F / k$ be a cyclic extension of degree $p$ and of characteristic different from $p$ . The explicit constructions of the non-abelian $p^{3}$ -extensions ov…

math.NT2007★ 2 cited

On Galois Groups of Prime Degree Polynomials with Complex Roots

Oz Ben-Shimol

Let $f$ be an irreducible polynomial of prime degree $p \geq 5$ over $\QQ$, with precisely $k$ pairs of complex roots. Using a result of Jens Höchsmann (1999), we show that if $p\ge…

Explicit Constructions of the non-Abelian p3-Extensions Over $\QQ$

On Galois Groups of Prime Degree Polynomials with Complex Roots

Explicit Constructions of the non-Abelian $p^{3}$ -Extensions Over $\QQ$