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A differential in the Lyndon—Hochschild—Serre spectral sequence

Record type: Article

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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Citation

Leary, Ian J. (1993) A differential in the Lyndon—Hochschild—Serre spectral sequence Journal of Pure and Applied Algebra, 88, (1-3), pp. 155-168. (doi:10.1016/0022-4049(93)90019-P).

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Published date: 1993
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 199315
URI: http://eprints.soton.ac.uk/id/eprint/199315
PURE UUID: 24156443-7691-4308-898a-c89be3736fae
ORCID for Ian J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 18 Oct 2011 12:27
Last modified: 18 Jul 2017 11:16

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Author: Ian J. Leary ORCID iD

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