Recent content by thoughtinknot

Okay the exponential map... So consider (\mathbb{R}+, x) the group of positive real numbers, where x is normal multiplication. Then there exists a mapping, exp:\mathbb{R}\rightarrow\mathbb{R}+ such that exp(r)=er. This can easily be shown to be an isomorphism, then I can use the cyclic group...

Am I wrong in thinking this question is incorrect since \mathbb{R} is not contained in \mathbb{R}*, thus \mathbb{R}* ≠ \mathbb{I}2 ⊕ \mathbb{R}?

Homework Statement Let \mathbb{R}*=\mathbb{R}\{0} with multiplication operation. Show that \mathbb{R}*=\mathbb{I}2 ⊕ \mathbb{R}, where the group operation in \mathbb{R} is addition.Homework Equations Let {A1,...,An}\subseteqA such that for all a\inA there exists a unique sequence {ak} such that...