The Universal Kolyvagin Recursion Implies the Kolyvagin Recursion

Let be the universal norm distribution and M a fixed power of prime p. By using the double complex method employed by Anderson, we study the universal Kolyvagin recursion occurring in the canonical basis in the cohomology group We furthermore show that the universal Kolyvagin recursion implies the Kolyvagin recursion in the theory of Euler systems. One certainly hopes this could lead to a new way to find new Euler systems. Research partially supported by Project 10401018 from NSFC and by SRF for ROCS, SEM