Dear GAP forum,

Let (G,.) a group such that [G,[G,G]] = 0.
I like to define a new group law * such that
a*b = ab[a,b]. It can be proven that (G,*) is also a group.

What is the nicest way to define (G,*) in GAP ?
(I like to check whether (G,.) and (G,*) are isomorphic).

Cheers,
Bill.

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