Let be an elliptic curve over a number field . Consider the
abelian group
of all points on defined over a fixed
choice
of algebraic closure of . Then is a module
over
, and we may consider the Galois cohomology
groups
If is a finite Galois extension of ,
then the inf-res sequence, written in terms
of Galois chomology, is
For any positive integer consider the homomorphism
William 2007-05-25