Math 2.0

Field theory and polynomials Galois theory Concept

Galois group of a polynomial

Summary

The Galois group of a polynomial over a field is the Galois group of its splitting field. It acts on the roots of the polynomial by permutations. The definition of the Galois group of a polynomial states it.

Further reading

  1. Web https://en.wikipedia.org/wiki/Galois_group, Galois group of a polynomial
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MSC12F10
SpecializesGalois group

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