Geometric description homework

[hsong9]

Homework Statement

In each case give a geometric description of the cosets of H in G.
a) G=R*, H=R⁺
b) G=C*, H=R

Homework Equations

The Attempt at a Solution

I have no idea about geometric description...

 

[hsong9]

R* means multiplicative
R+ means additive
left and right cosets...

 

[matt grime]

The meanings of R* and R+ are clear - and since they are abelian it doesn't matter whether we mean left or right cosets.First, let's forget the geometric nature of the question. Instead, can you say what the cosets are in each case?