For instance, the Galois group immediately tells you whether a polynomial can be solved at all, and it allows you to compare the underlying structure of different polynomials. Galois groups can also ...

Galois Theory: A branch of algebra that studies the symmetries of the roots of polynomials, particularly through the structure of Galois groups. Arboreal Galois Representations: ...

To present an introduction to Galois theory in the context of arbitrary field extensions and apply it to a number of historically important mathematical problems. Unit Description. Consider a field, ...

Since then, historians have argued over who shot Galois—father of the mathematical concept known as group theory—and what the fight was about. Some suggest the duel was set up by police to silence ...