Abstract
We focus on the cohomology of the $k$-th nilpotent quotient of a free group. We describe all the group 2-, 3-cocycles in terms of the Massey product and give expressions for some of the 3-cocycles. We also give simple proofs of some of the results on the Milnor invariant and Johnson–Morita homomorphisms.
Citation
Takefumi NOSAKA. "Cocycles of nilpotent quotients of free groups." J. Math. Soc. Japan 72 (1) 171 - 184, January, 2020. https://doi.org/10.2969/jmsj/79997999
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