Loading...

8.3.Galois theorem on solvability by radicals.

We finally arrive to the source of Galois theory, the question which motivated Galois himself: which equation are solvable by radicals and which are not? We explain Galois' result: an equation is solvable by radicals if and only if its Galois group is solvable in the sense of group theory. In particular we see that the "general" equation of degree at least 5 is not solvable by radicals. We briefly discuss the relations to representation theory and to topological coverings.

About Coursera

Courses, Specializations, and Online Degrees taught by top instructors from the world's best universities and educational institutions.

Community
Join a community of 40 million learners from around the world
Certificate
Earn a skill-based course certificate to apply your knowledge
Career
Gain confidence in your skills and further your career