Group Theory (VIII)
If G is a group such that (ab)^2=a^2b^2 for all a,b belongs to G, show that G must be abelian.
Or, Show that the group G is abelian iff (ab)^2=a^2b^2.
The fully formatted problem is in the attached file.© BrainMass Inc. brainmass.com October 9, 2019, 5:26 pm ad1c9bdddf
The solution of the Posting is in the attached files.
This shows how to complete a proof regarding an Abelian group. The solution is detailed and well presented.