JSC
2000
13 years 11 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 11 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...
CORR
2006
Springer
13 years 11 months ago
2006
Springer
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials...