 

Alan Koch
Hopf Galois structures on primitive purely inseparable extensions view print


Published: 
August 27, 2014

Keywords: 
Hopf algebras, Hopf Galois extensions, purely inseparable extensions 
Subject: 
16T05 


Abstract
Let L/K be a primitive purely inseparable extension of fields of
characteristic p, [L : K] >p, p odd. It is well known that
L/K is Hopf Galois for some Hopf algebra H, and it is suspected that L/K
is Hopf Galois for numerous choices of H. We construct a family of KHopf
algebras H for which L is an HGalois object. For some choices of K we
will exhibit an infinite number of such H. We provide some explicit examples
of the dual, Hopf Galois, structure on L/K.


Author information
Department of Mathematics, Agnes Scott College, 141 E. College Ave., Decatur, GA 30030, USA
akoch@agnesscott.edu

