Computation of the Galois Groups of the Resolvent Factors for the Direct and Inverse Galois Problems

Computation of the Galois Groups of the Resolvent Factors for the Direct and Inverse Galois Problems
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正伽罗瓦问题和逆伽罗瓦问题求解因子伽罗瓦群的计算

DOI:
10.1007/3-540-60114-7_36
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发表时间:
1995
期刊:
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通讯作者:
A. Valibouze
A. Valibouze
中科院分区:
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文献类型:
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作者:
A. Valibouze

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本文给出了一个确定一元无平方多项式的伽罗瓦群的新方法。该方法利用了其预解式因子的伽罗瓦群的先验计算,也可用于伽罗瓦反问题。
In this paper we present a new method for determining the Galois group of a square free univariate polynomial. This method makes use of a priori computation of the Galois group of the factors of its resolvents, and can also be used for the Galois inverse problem.