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JSC
2000
60views more  JSC 2000»
13 years 4 months ago
Generic Extensions and Generic Polynomials
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...
Arne Ledet
JSC
2000
69views more  JSC 2000»
13 years 4 months ago
Generic Polynomials with Few Parameters
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...
Gregor Kemper, Elena Mattig
CORR
2006
Springer
117views Education» more  CORR 2006»
13 years 4 months ago
Explicit factors of some iterated resultants and discriminants
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials...
Laurent Busé, Bernard Mourrain