(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let [itex](G,\cdot)[/itex] be a group. Defining the new operation * such that [itex] a*b = b \cdot a [/itex] it is pretty easy to show that [itex](G,*)[/itex] is a group. Show that this new group is isomorphic to the old one.

2. Relevant equations

3. The attempt at a solution

I have been experimenting with the possibility to define an isomorphism [itex] \phi (a*b) = b a [/itex] but can't really seem to get it right. Can anyone give me a hint on how to find the isomorphism?

Best,

Tor

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# Homework Help: A group isomorphism

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