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)

No Synonyms and anytonyms 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.
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.

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.