text: abstract
  a hopf galois structure on a finite field extension l/k is a pair (h, µ), where
  h is a finite cocommutative k-hopf algebra and µ a hopf action. in this paper we
  present an algorithm written in the computational algebra system magma which
  gives all hopf galois structures on separable field extensions of a given degree
  and several properties of those. we describe the results obtained for extensions
  of degree up to 11. besides, we prove that separable extensions of degree p2 , for
  p an odd prime, have at most one type of hopf galois structures.
  keywords: galois theory, hopf algebra, computational system magma.