galois Sentence Examples

1. Évariste Galois, a brilliant young mathematician, developed the Galois theory, which revolutionized the field of algebra.
2. Galois theory provides a method for determining the solvability of polynomial equations by analyzing their symmetry groups.
3. Galois' ideas laid the foundation for modern group theory and advanced abstract algebra.
4. The Galois group of a polynomial equation is a finite group that captures the essence of its algebraic structure.
5. Using Galois theory, it is possible to determine whether an algebraic extension of a field is Galois or not.
6. Galois cohomology, a generalization of Galois theory, has applications in diverse areas such as number theory and topology.
7. The Galois correspondence establishes a fundamental relationship between groups and field extensions.
8. In Galois geometry, the theorem of Desargues characterizes the incidence structure of a projective plane in terms of its Galois group.
9. Galois connections are binary relations that generalize adjoint functors in category theory.
10. Galois representations are fundamental objects in number theory, providing a link between number fields and algebraic groups.

galois Meaning

Wordnet

galois (n)

French mathematician who described the conditions for solving polynomial equations; was killed in a duel at the age of 21 (1811-1832)

Synonyms & Antonyms of galois

No Synonyms and anytonyms found

FAQs About the word galois

What is the meaning of the word galois

French mathematician who described the conditions for solving polynomial equations; was killed in a duel at the age of 21 (1811-1832)

What are the synonyms of the word galois

No synonyms found.

What are the antonyms of the word galois

No antonyms found.

What is the usage of word galois

Évariste Galois, a brilliant young mathematician, developed the Galois theory, which revolutionized the field of algebra.

Galois theory provides a method for determining the solvability of polynomial equations by analyzing their symmetry groups.

How to use the word galois in a sentence?

Galois' ideas laid the foundation for modern group theory and advanced abstract algebra.

The Galois group of a polynomial equation is a finite group that captures the essence of its algebraic structure.