galois Antonyms
No Synonyms and anytonyms found
Meaning of galois
galois (n)
French mathematician who described the conditions for solving polynomial equations; was killed in a duel at the age of 21 (1811-1832)
galois Sentence Examples
- 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.
- 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.
- Using Galois theory, it is possible to determine whether an algebraic extension of a field is Galois or not.
- Galois cohomology, a generalization of Galois theory, has applications in diverse areas such as number theory and topology.
- The Galois correspondence establishes a fundamental relationship between groups and field extensions.
- In Galois geometry, the theorem of Desargues characterizes the incidence structure of a projective plane in terms of its Galois group.
- Galois connections are binary relations that generalize adjoint functors in category theory.
- Galois representations are fundamental objects in number theory, providing a link between number fields and algebraic groups.
FAQs About 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)
No synonyms found.
No antonyms found.
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.
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.
