Originally Posted by

**hmmmm** Sorry I should have said that it is over the real numbers I have edited it now.

Im a bit confused by your answer I want to find an isomorphism from G to H (H being a subgroup of G this isnt possible is it?) or do you just mean a different group H'

Thanks for the help sorry for my confusion

for a

So am I looking for a map $\displaystyle \phi:G\rightarrow G'$ such that $\displaystyle \phi(g)\rightarrow a_{11}$ and where $\displaystyle G'=(\mathbb{R^*},\times)$?

So the quotient group G/H is isomorphic to $\displaystyle \mathbb{R^*},\times)$