| |
|
Lindsay N. Childs
Hopf Galois structures on Kummer extensions of prime power degree view print
|
|
| Published: |
February 24, 2011 |
| Keywords: |
Hopf Galois extension, Kummer extension, p-adic logarithm |
| Subject: |
12F10 |
|
|
Abstract
Let K be a field of characteristic not p (an odd prime), containing a primitive pn-th root of unity ζ, and let L = K[z] with xpn - a the minimal polynomial of z over K: thus L|K is a Kummer extension, with cyclic Galois group G = <σ> acting on L via σ(z)=ζz. T. Kohl, 1998, showed that L|K has pn-1 Hopf Galois structures. In this paper we describe these Hopf Galois structures.
|
|
| Author information
Department of Mathematics and Statistics, University at Albany, Albany, NY 12222
childs@math.albany.edu
|
|
