20 search results - page 1 / 4 » Some polynomials over Q(t) and their Galois groups |
MOC
2000
13 years 7 months ago
2000
Abstract. Examples of polynomials with Galois group over Q(t) corresponding to every transitive group through degree eight are calculated, constructively demonstrating the existenc...
MOC
2002
13 years 7 months ago
2002
Let Tp,k(x) be the characteristic polynomial of the Hecke operator Tp acting on the space of level 1 cusp forms Sk(1). We show that Tp,k(x) is irreducible and has full Galois group...
ANTS
2006
Springer
13 years 11 months ago
2006
Springer
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
JSC
2000
13 years 7 months ago
2000
This paper presents a generalization of a theorem of Saltman on the existence of generic extensions with group A G over an infinite field K, where A is abelian, using less restri...
JSC
2000
13 years 7 months ago
2000
We call a polynomial g(t1, . . . , tm, X) over a field K generic for a group G if it has Galois group G as a polynomial in X, and if every Galois field extension N/L with K L and...