302.S6b: Cyclotomic Extensions and Automorphisms
Channel: Matthew Salomone
Date: 2014-04-15

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.