2008Unpublished venueRequires access

About calculation of galois group

G.S. Sadovoi

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Abstract

The paper presents the way of calculation of finite groups for the algebraic equations. The way is based on the analysis of substitutions of roots with the help of the transformations keeping their symmetry. Examples of application of this way are given.

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What this paper is about

The paper presents the way of calculation of finite groups for the algebraic equations. The way is based on the analysis of substitutions of roots with the help of the transformations keeping their symmetry. Examples of application of this way are given.

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Available abstract

The paper presents the way of calculation of finite groups for the algebraic equations. The way is based on the analysis of substitutions of roots with the help of the transformations keeping their symmetry. Examples of application of this way are given.

Key concepts: Galois group, Group (periodic table), Differential Galois theory, Algebra over a field, Symmetry (geometry), Finite field, Group theory, Algebraic number

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