Authors construct obstructions to surjectivity of Johnson homomorphisms on basis-conjugating automorphism groups of free groups, determine the cokernels through degree four, and affirmatively resolve the Andreadakis problem in degree four.
Darn´ e; On the stable Andreadakis Problem, Journal of Pur e and Applied Algebra, 223 (2019), 5484-5525
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On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups
Authors construct obstructions to surjectivity of Johnson homomorphisms on basis-conjugating automorphism groups of free groups, determine the cokernels through degree four, and affirmatively resolve the Andreadakis problem in degree four.