Generic extensions and generic polynomials for semidirect products
نویسندگان
چکیده
منابع مشابه
Generic Extensions and Generic Polynomials for Semidirect Products
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 restrictive requirements on A and G. The method is constructive, thereby allowing the explicit construction of generic polynomials for those groups, and it gives new bounds on the generic dimension. Generic polynomials for ...
متن کاملGeneric Polynomials are Descent-Generic
Let g(X) ∈ K(t1, . . . , tm)[X] be a generic polynomial for a group G in the sense that every Galois extension N/L of infinite fields with group G and K ≤ L is given by a specialization of g(X). We prove that then also every Galois extension whose group is a subgroup of G is given in this way. Let K be a field and G a finite group. Let us call a monic, separable polynomial g(t1, . . . , tm, X) ...
متن کاملGeneric Picard-vessiot Extensions and Generic Equations
The notion of a generic Picard-Vessiot extension with group G is equivalent to that of a generic linear differential equation for the same group.
متن کاملGeneric Rings for Picard–Vessiot Extensions and Generic Differential Equations
Let G be an observable subgroup of GLn. We produce an extension of differential commutative rings generic for Picard–Vessiot extensions with
متن کاملAn architecture for generic extensions
We examine what is necessary to allow generic libraries to be used naturally in a multi-language, potentially distributed environment. Language-neutral library interfaces usually do not support the full range of programming idioms that are available when a library is used natively. We investigate how to structure the language bindings of the neutral interface to achieve a better expressibility ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.05.040