What does galois theory mean?
Definitions for galois theory
ga·lois the·o·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word galois theory.
Princeton's WordNet
Galois theorynoun
group theory applied to the solution of algebraic equations
Wiktionary
Galois theorynoun
The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.
Etymology: Named after Evariste Galois.
ChatGPT
galois theory
Galois Theory is a branch of abstract algebra that studies the relationship between fields and the polynomial equations they can solve. Named after Évariste Galois, it allows for a deep understanding of the solvability of polynomial equations by showing the correspondence between the structure of groups related to a polynomial equation and the roots of the equation. It provides insights into the nature of symmetries associated with these roots, and plays a significant role in number theory and many areas of algebra, including algebraic geometry and representation theory.
Wikidata
Galois theory
In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood. Originally Galois used permutation groups to describe how the various roots of a given polynomial equation are related to each other. The modern approach to Galois theory, developed by Richard Dedekind, Leopold Kronecker and Emil Artin, among others, involves studying automorphisms of field extensions. Further abstraction of Galois theory is achieved by the theory of Galois connections.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of galois theory in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of galois theory in Pythagorean Numerology is: 1
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"galois theory." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/galois+theory>.
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