CAPITAL REGION ALGEBRA/NUMBER THEORY SEMINAR 


Speaker:       Professor Lindsay Childs, Univ. at Albany 

Time:          Wednesday, April 28, at 4:30pm    

Place:         Bailey Hall 106, Union College  

Title:         Hopf Galois structures on Galois extensions of fields 


Abstract:

Given a Galois extension L/K of fields with Galois group G, there may be
K-Hopf algebras H other than KG that act on L and make L/K a Hopf Galois
extension.  We will discuss some recent work on counting the number of Hopf
Galois structures on a Galois extension L/K.  In particular, when the Galois
group G is an elementary abelian p-group, it was known that if |G| = p,
resp. p^2, there are one, resp. p^2 Hopf Galois structures.  We find a lower
bound when |G| = p^n and p>n.


Refreshments at 4:15 pm in Bailey Hall 204.