Cocycles of nilpotent quotients of free groups
Abstract
We focus on the cohomology of the k-th nilpotent quotient of the free group, F/Fk. This paper describes all the group 2-, 3-cocycles in terms of Massey products, and gives expressions for some of the 3-cocycles. We also give simple proofs of some of the results on Milnor invariants and the Johnson-Morita homomorphisms.
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