"We should also mention that completely faithful modules and Selmer groups of elliptic
curves over Iwasawa algebras of compact p-adic Lie group other than the ones considered
in this paper have also been studied in [A, BZ]. Our results here may therefore be
viewed as complement to the results there.", "As discussed in [BZ, Section 7], if
X(E/F) is finite (as suggested by its p-adic L-function), then X(E/L∞) is a completely
faithful Z5JGal(L∞/F)K- module. We will assume this latter property throughout our
Meng Fai. On completely faithful Selmer groups of elliptic curves and Hida deformations.
(2015) JOURNAL OF ALGEBRA 0021-8693 1090-266X 432 72-90