Loading...

7.2. Kummer extensions.

Course video 38 of 55

We continue to study the examples: cyclotomic extensions (roots of unity), cyclic extensions (Kummer and Artin-Schreier extensions). We introduce the notion of the composite extension and make remarks on its Galois group (when it is Galois), in the case when the composed extensions are in some sense independent and one or both of them is Galois. The notion of independence is also given a precise sense ("linearly disjoint extensions"). This week, an ungraded assignment is given.

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