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if G is free group of rank >1 , Show that the commutator [G,G] has infinite rank. Please help, I tried to find an expression of the commutator but I have no idea

Adam Harvy
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    Relevant: http://math.stackexchange.com/questions/983480/commutator-subgroup-of-rank-2-free-group-is-not-finitely-generated In particular read the answer by Timbuc and the comment below it – DonAntonio Feb 19 '17 at 23:53
  • need for any rank grater than one , not only for rank =2 – Adam Harvy Feb 20 '17 at 22:36
  • Well...if you have it for rank two then you have if for any rank bigger than two ....right? – DonAntonio Feb 20 '17 at 23:10

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