Construction de corps de décomposition grace aux facteurs de résolvantes
作者:
Lionel Ducos,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 2
页码: 903-924
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008826868
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
Traditional methods of research for the Galois group of a polynomialfwith coefficients in a fieldKare strongly related to factorization of absolute or relative resolvents. In this paper, thanks to resolvents and the Galois theory for rings, we describe an effective algorithm for building a splitting fieldEoffoverK, i.e. to find a finite system of generators for the kernel of a surjective morphism.
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