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Realizability and automatic realizability of Galois groups of order 32

✍ Scribed by Helen G. Grundman; Tara L. Smith


Book ID
111488560
Publisher
SP Versita
Year
2010
Tongue
English
Weight
499 KB
Volume
8
Category
Article
ISSN
1895-1074

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πŸ“œ SIMILAR VOLUMES


Explicit Galois Realization of Transitiv
✍ JΓΌrgen KlΓΌners; Gunter Malle πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 419 KB

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.