Help! OCR FP3 Group Theory.

Hi There,

Have been learning OCR FP3 Group Theory and all has been going well however have just started isomorphic groups and getting a little confused. I have the characteristics of isomorphic groups in my notes but questions which I have been set for homework (Such as the following) has left me a bit stuck and am in need of a pointer! Thanks in advance

"Use the function f(x) = exp(x) to show that (R,+) is isomorphic to (R⁺, x)

Where R = The set of real numbers (couldn't find symbol).

Where R = The set of real numbers (couldn't find symbol).

Well, this question needs you to know the following:A group (G,+) is isomorphic to another group (H,x) if there is a one-one map $f: G \rightarrow H$such that $f(x+y) = f(x)f(y)$ for all x and y in G.

Well, this question needs you to know the following:

A group (G,+) is isomorphic to another group (H,x) if there is a one-one map

$f: G \rightarrow H$

such that $f(x+y) = f(x)f(y)$ for all x and y in G.

Thanks for the reply OK so I know the conditions for Isomorphism. I'm not sure if we have gone over this in enough detail in class. We learnt the condition that f(xy) = f(x)f(y) for isomorphism and I understand that the operators are different in each group which is why we are saying something different. Or f(x+y)=f(x)f(y) but ensure from here...