Abstract
This paper is concerned with the 513 isomorphism classes of degree~12 2-adic fields whose automorphism groups have order~4. For each extension, we identify a defining polynomial, the extension's ramification index, residue degree, discriminant, and the Galois group of the extension's normal closure. These results extend previous work of Jones and Roberts, Awtrey and Shill.
Citation
Chad Awtrey. Brett Barkley. Nicole E. Miles. Erin Strosnider. Erin Strosnider. "Degree 12 2-adic fields with automorphism group of order 4." Rocky Mountain J. Math. 45 (6) 1755 - 1764, 2015. https://doi.org/10.1216/RMJ-2015-45-6-1755
Information