7.What was Galois’ contribution to the theory of algebraic equations and what were some of the...

7.What was Galois’ contribution to the theory of algebraic equations and what were some of the reasons why it was so remarkable?

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Colby Messinger answered 1 year ago

If K is finite and F is an algebraic closuer of K, then the Galois group...

If K is finite and F is an algebraic closuer of K, then the Galois group Aut F over K is abelian. Every element of Aut F over K has infinite order.

Abstract Algebra and Galois Theory Show how to one can deduce the Fundamental Theorem of Galois...

Abstract Algebra and Galois Theory Show how to one can deduce the Fundamental Theorem of Galois theory from the Artin's lemma.

Write an 8-10 sentence paragrpah describing Galois Theory.

Abstract algebra: Deduce the main theorem of Galois theory from Artin's lemma.

Translating and Solving Word Equations: Translate then solve the algebraic equation for the following problems: Fourteen...

Translating and Solving Word Equations: Translate then solve the algebraic equation for the following problems: Fourteen less than 5 times a number is 1. Identify the integer. When the sum of a number and 3 is subtracted from 10 the result is 5. Identify the integer. The sum of two consecutive integers is 139. Find the integers. The sum of two even consecutive integers is 46. Find the integers. The sum of three consecutive integers is 57. Find the integers.

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7.What was Galois’ contribution to the theory of algebraic equations and what were some of the...

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If K is finite and F is an algebraic closuer of K, then the Galois group...

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