20 search results - page 1 / 4 » Some polynomials over Q(t) and their Galois groups |
MOC
2000
13 years 10 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 10 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
14 years 2 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 10 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 10 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...