galois theory Sentence Examples
- Galois theory, named after the French mathematician Évariste Galois, is a branch of mathematics that studies the relationship between groups and fields.
- One of the central concepts in Galois theory is the Galois group of a field extension, which is a group that captures the symmetries of the extension.
- Galois theory has applications in many areas of mathematics, including number theory, algebraic geometry, and coding theory.
- In number theory, Galois theory is used to study the solvability of polynomial equations by radicals.
- In algebraic geometry, Galois theory is used to study the geometry of algebraic varieties.
- In coding theory, Galois theory is used to design error-correcting codes.
- Galois theory is a powerful tool that has been used to solve many important problems in mathematics.
- The Fundamental Theorem of Galois Theory is one of the most important results in mathematics.
- Galois theory is still an active area of research, and new applications are being discovered all the time.
- Galois theory is a fascinating and beautiful subject that has had a profound impact on mathematics.
galois theory Meaning
Wordnet
galois theory (n)
group theory applied to the solution of algebraic equations
Synonyms & Antonyms of galois theory
No Synonyms and anytonyms found
FAQs About the word galois theory
group theory applied to the solution of algebraic equations
No synonyms found.
No antonyms found.
Galois theory, named after the French mathematician Évariste Galois, is a branch of mathematics that studies the relationship between groups and fields.
One of the central concepts in Galois theory is the Galois group of a field extension, which is a group that captures the symmetries of the extension.
Galois theory has applications in many areas of mathematics, including number theory, algebraic geometry, and coding theory.
In number theory, Galois theory is used to study the solvability of polynomial equations by radicals.
