- #1
TorKjellsson
- 8
- 1
Homework Statement
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.
Homework Equations
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?
Tor