Leary, Ian J. (1993) A differential in the Lyndon—Hochschild—Serre spectral sequence. Journal of Pure and Applied Algebra, 88 (1-3), 155-168. (doi:10.1016/0022-4049(93)90019-P).
Abstract
We consider the Lyndon-Hochschild-Serre spectral sequence with coefficients in the field of p elements for central extensions in which the kernel is cyclic of order a power of p. For these spectral sequences the second and third differentials are known; we give a description of the fourth differential. The differential from odd rows to even rows involves a Massey triple product, and we calculate these products in the cohomology of any finite abelian group.
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