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Quotient groups of IA-automorphisms of a free group of rank 3

Quotient groups of IA-automorphisms of a free group of rank 3

We prove that, for any positive integer [Formula: see text], the quotient group [Formula: see text] of the lower central series of the McCool group [Formula: see text] is isomorphic to two copies of the quotient group [Formula: see text] of the lower central series of a free group [Formula: …