SOLUTION: What is the inverse of commutator in group G?

Question 1172370: What is the inverse of commutator in group G?
Answer by ikleyn(52782) (Show Source): You can put this solution on YOUR website!
.


Let x and y be two elements of the multiplicative group G.


Then their commutator is the element    of the group.


Let's denote it C(x,y) = .


The problem asks about the inverse of the commutator C(x,y),  which is  .


We have 


     =  =  = C(y,x).


Thus   = C(y,x).      ANSWER

Answered, solved, explained and completed.

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