Conjecture A and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>μ</mml:mi></mml:math>-invariant for Selmer groups of supersingular elliptic curves

Let p be an odd prime and let E elliptic curve defined over a number field F with good reduction at the primes above p. In this survey article, we give overview of some important results proven for fine Selmer group signed groups cyclotomic towers as well ℤ 2 -extensions imaginary quadratic where splits completely. We only discuss algebraic aspects these objects through Iwasawa theory. also attempt to recent implying vanishing μ-invariant under hypothesis Conjecture A. Moreover, draw analogy between classical in ordinary case that Kobayashi supersingular case. highlight properties groups, when has reduction, which are completely analogous group, reduction. paper do not present any proofs, however, have tried references discussed interested reader.