 

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, padic logarithm 
Subject: 
12F10 


Abstract
Let K be a field of characteristic not p (an odd prime), containing a primitive p^{n}th root of unity ζ, and let L = K[z] with x^{pn}  a the minimal polynomial of z over K: thus LK is a Kummer extension, with cyclic Galois group G = <σ> acting on L via σ(z)=ζz. T. Kohl, 1998, showed that LK has p^{n1} 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

