conversion between multiplicative and additive group notation
I'm quite new to Groups and I'm using them for cryptology purpose.
Currently, I'm learning about Elliptic Curve Cryptography and facing a
notation problem.
Since Elliptic Curves are abelian the group operation is normally donated
with a +. And for $P\in E:$ $P+P = 2P$. In cryptography the multiplicative
notation is used. Am I right, when I assume that $P^2$ in multiplicative
notation equals $2*P$ in additive notation?
How can I convert $P^\frac{1}{a+b}$ into additive notation?
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