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Galois realizability of groups of order 64

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


Book ID
111488620
Publisher
SP Versita
Year
2010
Tongue
English
Weight
272 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.

Galois Groups of Second and Third Order
✍ Michael F. Singer; Felix Ulmer πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 924 KB

Using the representation theory of groups, we are able to give simple necessary and sufficient conditions regarding the structure of the Galois groups of second and third order linear differential equations. These allow us to give simple necessary and sufficient conditions for a second order linear