302.S6b: Cyclotomic Extensions and Automorphisms

The k-th cyclotomic fields are very different when k is prime than when k is composite. We contrast the cases k=5, 7, and 8, and determine automorphism groups for the 5th (cyclic!) and 8th (Klein four-group!) cyclotomic fields.

[zairaner]

It feels great finally seing everything come together

[PunmasterSTP]

I was curious what character you drew with the text "I generate the basis!" at 9:32, then later realized it was a rabbit. Now it makes sense!

[RooftopDuvet]

Thanks! You've done a wonderful job of motivating these ideas.

[osmanjantalipjan]

I am very appreciate to you .it is so fascinating explain about this topic .

[HotPepperLala]

1 can't be a root to t^6 + t^5 + ...+ t + 1. You mean the roots of unity from i = 1 to 6.