Examples of 'galois theory' in a sentence
Meaning of "galois theory"
Galois theory is a branch of mathematics that studies field extensions and groups
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- The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.
How to use "galois theory" in a sentence
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galois theory
Fields and galois theory.
Galois theory of covering spaces.
His long year scientific devotion was in Galois theory.
Galois theory concerns transformations of number fields that permute the roots of an equation.
However the original notion in Galois theory is slightly different.
Galois theory also gives a clear insight into questions concerning problems in compass and straightedge construction.
Differential fields are the objects of study in differential Galois theory.
In Galois theory this functor is shown to be an equivalence of categories.
This is the content of the fundamental theorem of Galois theory.
Discusses Galois Theory in general including a proof of insolvability of the general quintic.
At the same time he was the first to lecture on Galois theory.
We have seen that the Galois theory of finite fields is very very easy.
It permits a far simpler statement of the fundamental theorem of Galois theory.
The fundamental theorem of Galois theory provides a link between algebraic field extensions and group theory.
One example of such a more general duality is from Galois theory.
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Further abstraction of Galois theory is achieved by the theory of Galois connections.
The fourth part deals with fields and Galois theory.
See also Differential Galois theory for a more detailed discussion.
Invariant theory of finite groups has intimate connections with Galois theory.
Galois theory for beginners, a historical perspective.
Ihara has worked on geometric and number theoretic applications of Galois theory.
Some on-line tutorials on Galois theory appear at.
Ihara has done important research on geometric and number theoretic applications of Galois theory.
Applications of Galois theory.
Long standing questions about compass and straightedge construction were finally settled by Galois theory.
Initially, his research dealt with Galois theory of equations.
Thus, Galois theory studies the symmetries inherent in algebraic equations.
Another algebraic proof of the fundamental theorem can be given using Galois theory.
This study is referred to as differential Galois theory, by analogy with algebraic Galois theory.
Yet he was also the first at Göttingen to lecture concerning Galois theory.
In mathematics, Galois theory provides a connection between field theory and group theory.
The Riemann zeta function on Galois theory.
Galois theory has been generalized to Galois connections and Grothendieck 's Galois theory.
Galois ' work is now known as Galois theory.
In mathematics, differential Galois theory studies the Galois groups of differential equations.
Galois ' most significant contribution to mathematics is his development of Galois theory.
Galois theory = = = Galois 's most significant contribution to mathematics by far is his development of Galois theory.
He worked also on the theory of equations, giving early expositions of Galois theory.
This is a result of Galois theory ( see Quintic equations and the Abel-Ruffini theorem ).
Symmetric polynomials are important to linear algebra, representation theory, and Galois theory.
This is a result of Galois theory ( see Quintic equations and the Abel - Ruffini theorem ).
For more detailed examples, see the page on the fundamental theorem of Galois theory.
Category, Galois theory.
In his Ph.D. thesis, he developed a topological version of Galois theory.
Kummer theory, The Galois theory of taking " n " - th roots, given enough roots of unity.
Abstract, The text begins with a brief description of differential Galois theory from a geometrical perspective.
He was a substitute lecturer at University of Christiania in 1862, covering Galois theory.
Grothendieck 's Galois theory.
Previous Previous post, Galois theory.
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