galois theory in English

noun
1
a method of applying group theory to the solution of algebraic equations.
His interests in research relate to finite geometries and the group theory related to them, to Cremona transformations related to the Galois theory of equations.

Use "galois theory" in a sentence

Below are sample sentences containing the word "galois theory" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "galois theory", or refer to the context using the word "galois theory" in the English Dictionary.

1. This is a result of Galois theory (see Quintic equations and the Abel–Ruffini theorem).

2. The truth and importance of the work were not confirmed during his lifetime. His work laid the fundamental foundations for Galois theory , a major branch of abstract algebra and of pseudorandom sequence (PN) and error-correction coding applications.

3. This line of work ultimately resulted, through the work of Évariste Galois, in Galois theory, which gives a complete description of what is possible and impossible with respect to solving polynomial equations (in one unknown) by radicals.

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