Cocycles of nilpotent quotients of free groups
2020 年 72 巻 1 号 p. 171-184
詳細
2020 年 72 巻 1 号 p. 171-184
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.
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