... We then investigate consequences of the surjectivity of XT(F,) for the calculation of the E-Euler characteristic of the Selmer group S(E/F,). In the last part of the chapter, we relate the ... Lecture Notes at the Tata Institute of Fundamental Research, Bombay (to appear). J. Coates, R. Sujatha, Iwasawa theory of elliptic curves, to appear in Proc. Number Theory Conference held at ... F,. This completes the proof of (76). We now turn to the first assertion of Lemma 3.13. Taking G(F,/F,)- cohomology of the exact sequence at the beginning of the proof, and then taking the...