✦ LIBER ✦
Explicit Galois Realization of Transitive Groups of Degree up to 15
✍ Scribed by Jürgen Klüners; Gunter Malle
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 419 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
✦ Synopsis
We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of Q(t), and in each case compute a polynomial f ∈ Q[x] with Gal(f ) = G.